Differential Geometric Structures And Applications
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Differential Geometric Structures And Applications
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Author : Vladimir Rovenski
language : en
Publisher: Springer Nature
Release Date :
Differential Geometric Structures And Applications written by Vladimir Rovenski and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Differential Geometric Structures And Applications
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Author : Vladimir Rovenski
language : en
Publisher: Springer
Release Date : 2024-03-19
Differential Geometric Structures And Applications written by Vladimir Rovenski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-19 with Mathematics categories.
This proceedings contains a collection of selected, peer-reviewed contributions from the 4th International Workshop "Differential Geometric Structures and Applications" held in Haifa, Israel from May 10–13, 2023. The papers included in this volume showcase the latest advancements in modern geometry and interdisciplinary applications in fields ranging from mathematical physics to biology. Since 2008, this workshop series has provided a platform for researchers in pure and applied mathematics, including students, to engage in discussions and explore the frontiers of modern geometry. Previous workshops in the series have focused on topics such as "Reconstruction of Geometrical Objects Using Symbolic Computations" (2008), "Geometry and Symbolic Computations" (2013), and "Geometric Structures and Interdisciplinary Applications" (2018).
Differential Geometric Structures
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Author : Walter A. Poor
language : en
Publisher: Courier Corporation
Release Date : 2015-04-27
Differential Geometric Structures written by Walter A. Poor and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-27 with Mathematics categories.
This introductory text defines geometric structure by specifying parallel transport in an appropriate fiber bundle and focusing on simplest cases of linear parallel transport in a vector bundle. 1981 edition.
A Guide To Lie Systems With Compatible Geometric Structures
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Author : Javier De Lucas Araujo
language : en
Publisher: World Scientific
Release Date : 2020-01-22
A Guide To Lie Systems With Compatible Geometric Structures written by Javier De Lucas Araujo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-22 with Mathematics categories.
The book presents a comprehensive guide to the study of Lie systems from the fundamentals of differential geometry to the development of contemporary research topics. It embraces several basic topics on differential geometry and the study of geometric structures while developing known applications in the theory of Lie systems. The book also includes a brief exploration of the applications of Lie systems to superequations, discrete systems, and partial differential equations.Offering a complete overview from the topic's foundations to the present, this book is an ideal resource for Physics and Mathematics students, doctoral students and researchers.
Contributions To And A Survey On Moduli Spaces Of Differential Geometric Structures With Applications In Physics
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Author : Osmo Pekonen
language : en
Publisher:
Release Date : 1988
Contributions To And A Survey On Moduli Spaces Of Differential Geometric Structures With Applications In Physics written by Osmo Pekonen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Geometry, Differential categories.
Geometric Structures Of Information
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Author : Frank Nielsen
language : en
Publisher: Springer
Release Date : 2018-11-19
Geometric Structures Of Information written by Frank Nielsen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-19 with Technology & Engineering categories.
This book focuses on information geometry manifolds of structured data/information and their advanced applications featuring new and fruitful interactions between several branches of science: information science, mathematics and physics. It addresses interrelations between different mathematical domains like shape spaces, probability/optimization & algorithms on manifolds, relational and discrete metric spaces, computational and Hessian information geometry, algebraic/infinite dimensional/Banach information manifolds, divergence geometry, tensor-valued morphology, optimal transport theory, manifold & topology learning, and applications like geometries of audio-processing, inverse problems and signal processing. The book collects the most important contributions to the conference GSI’2017 – Geometric Science of Information.
Transformations Of Manifolds And Applications To Differential Equations
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Author : Keti Tenenblat
language : en
Publisher: Chapman and Hall/CRC
Release Date : 1998-06-28
Transformations Of Manifolds And Applications To Differential Equations written by Keti Tenenblat and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-06-28 with Mathematics categories.
The study of the interaction between differential geometry and partial differential equations has a long history-dating to the last century-and continues to generate considerable interest. Most of the local properties of manifolds are expressed in terms of partial differential equations, and this correspondence proves useful in two ways: we can obtain solutions to the equations from our knowledge about the local geometry of the manifolds, and we can obtain geometric properties of the manifolds-or even prove the non-existence of certain geometric structures on manifolds-from our knowledge of the differential equations. Transformations of Manifolds and Applications to Differential Equations focuses on the role played by differential geometry on the study of differential equations. The author combines the geometric and analytic aspects of the theory, not only in the classical examples, but also in more recent results on integrable systems with an arbitrary number of independent variables. With its applications to problems in evolution equations, strongly hyperbolic systems of the hydrodynamic type, linear Weingarten surfaces, and submanifolds of constant curvature, this volume will prove interesting and valuable to researchers and mathematicians working in differential geometry, differential equations, and mathematical physics.
Aspects Of Differential Geometry Iv
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Author : Esteban Calviño-Louzao
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2019-04-18
Aspects Of Differential Geometry Iv written by Esteban Calviño-Louzao and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-18 with Mathematics categories.
Book IV continues the discussion begun in the first three volumes. Although it is aimed at first-year graduate students, it is also intended to serve as a basic reference for people working in affine differential geometry. It also should be accessible to undergraduates interested in affine differential geometry. We are primarily concerned with the study of affine surfaces which are locally homogeneous. We discuss affine gradient Ricci solitons, affine Killing vector fields, and geodesic completeness. Opozda has classified the affine surface geometries which are locally homogeneous; we follow her classification. Up to isomorphism, there are two simply connected Lie groups of dimension 2. The translation group R2 is Abelian and the ???? + ?? group is non-Abelian. The first chapter presents foundational material. The second chapter deals with Type ?? surfaces. These are the left-invariant affine geometries on R2. Associating to each Type ?? surface the space of solutions to the quasi-Einstein equation corresponding to the eigenvalue ?? = -1 turns out to be a very powerful technique and plays a central role in our study as it links an analytic invariant with the underlying geometry of the surface. The third chapter deals with Type ?? surfaces; these are the left-invariant affine geometries on the ???? + ?? group. These geometries form a very rich family which is only partially understood. The only remaining homogeneous geometry is that of the sphere ??2. The fourth chapter presents relations between the geometry of an affine surface and the geometry of the cotangent bundle equipped with the neutral signature metric of the modified Riemannian extension.
Differential Geometry And Its Applications
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Author : Old?ich Kowalski
language : en
Publisher: World Scientific
Release Date : 2008
Differential Geometry And Its Applications written by Old?ich Kowalski and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This volume contains invited lectures and selected research papers in the fields of classical and modern differential geometry, global analysis, and geometric methods in physics, presented at the 10th International Conference on Differential Geometry and its Applications (DGA2007), held in Olomouc, Czech Republic.The book covers recent developments and the latest results in the following fields: Riemannian geometry, connections, jets, differential invariants, the calculus of variations on manifolds, differential equations, Finsler structures, and geometric methods in physics. It is also a celebration of the 300th anniversary of the birth of one of the greatest mathematicians, Leonhard Euler, and includes the Euler lecture ?Leonhard Euler ? 300 years on? by R Wilson. Notable contributors include J F Cari¤ena, M Castrill¢n L¢pez, J Erichhorn, J-H Eschenburg, I Kol ?, A P Kopylov, J Korba?, O Kowalski, B Kruglikov, D Krupka, O Krupkov , R Landre, Haizhong Li, S Maeda, M A Malakhaltsev, O I Mokhov, J Mu¤oz Masqu, S Preston, V Rovenski, D J Saunders, M Sekizawa, J Slov k, J Szilasi, L Tam ssy, P Walczak, and others.
Aspects Of Differential Geometry Iii
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Author : Esteban Calviño-Louzao
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2017-05-25
Aspects Of Differential Geometry Iii written by Esteban Calviño-Louzao and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-25 with Mathematics categories.
Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. Book III is aimed at the first-year graduate level but is certainly accessible to advanced undergraduates. It deals with invariance theory and discusses invariants both of Weyl and not of Weyl type; the Chern‒Gauss‒Bonnet formula is treated from this point of view. Homothety homogeneity, local homogeneity, stability theorems, and Walker geometry are discussed. Ricci solitons are presented in the contexts of Riemannian, Lorentzian, and affine geometry.