Hermitian Grassmannian Submanifolds
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Hermitian Grassmannian Submanifolds
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Author : Young Jin Suh
language : en
Publisher: Springer
Release Date : 2017-09-14
Hermitian Grassmannian Submanifolds written by Young Jin Suh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-14 with Mathematics categories.
This book presents the proceedings of the 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds, which was held at the Kyungpook National University from June 21 to 25, 2016. The Workshop was supported by the Research Institute of Real and Complex Manifolds (RIRCM) and the National Research Foundation of Korea (NRF). The Organizing Committee invited 30 active geometers of differential geometry and related fields from all around the globe to discuss new developments for research in the area. These proceedings provide a detailed overview of recent topics in the field of real and complex submanifolds.
Hermitian Grassmannian Submanifolds
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Author : Young Jin Suh
language : en
Publisher:
Release Date : 2017
Hermitian Grassmannian Submanifolds written by Young Jin Suh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Global analysis categories.
The Submanifold Geometries Associated To Grassmannian Systems
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Author : Martina Brück
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
The Submanifold Geometries Associated To Grassmannian Systems written by Martina Brück and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This work is intended for graduate students and research mathematicians interested in differential geometry and partial differential equations.
Invariant Forms On Grassmann Manifolds
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Author : Wilhelm Stoll
language : en
Publisher: Princeton University Press
Release Date : 1977
Invariant Forms On Grassmann Manifolds written by Wilhelm Stoll and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.
This work offers a contribution in the geometric form of the theory of several complex variables. Since complex Grassmann manifolds serve as classifying spaces of complex vector bundles, the cohomology structure of a complex Grassmann manifold is of importance for the construction of Chern classes of complex vector bundles. The cohomology ring of a Grassmannian is therefore of interest in topology, differential geometry, algebraic geometry, and complex analysis. Wilhelm Stoll treats certain aspects of the complex analysis point of view. This work originated with questions in value distribution theory. Here analytic sets and differential forms rather than the corresponding homology and cohomology classes are considered. On the Grassmann manifold, the cohomology ring is isomorphic to the ring of differential forms invariant under the unitary group, and each cohomology class is determined by a family of analytic sets.
Geometry Of Submanifolds And Applications
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Author : Bang-Yen Chen
language : en
Publisher: Springer Nature
Release Date :
Geometry Of Submanifolds And Applications written by Bang-Yen Chen 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 Geometry And Global Analysis
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Author : Bang-Yen Chen
language : en
Publisher: American Mathematical Society
Release Date : 2022-04-07
Differential Geometry And Global Analysis written by Bang-Yen Chen and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-07 with Mathematics categories.
This volume contains the proceedings of the AMS Special Session on Differential Geometry and Global Analysis, Honoring the Memory of Tadashi Nagano (1930–2017), held January 16, 2020, in Denver, Colorado. Tadashi Nagano was one of the great Japanese differential geometers, whose fundamental and seminal work still attracts much interest today. This volume is inspired by his work and his legacy and, while recalling historical results, presents recent developments in the geometry of symmetric spaces as well as generalizations of symmetric spaces; minimal surfaces and minimal submanifolds; totally geodesic submanifolds and their classification; Riemannian, affine, projective, and conformal connections; the $(M_{+}, M_{-})$ method and its applications; and maximal antipodal subsets. Additionally, the volume features recent achievements related to biharmonic and biconservative hypersurfaces in space forms, the geometry of Laplace operator on Riemannian manifolds, and Chen-Ricci inequalities for Riemannian maps, among other topics that could attract the interest of any scholar working in differential geometry and global analysis on manifolds.
Contact Geometry Of Slant Submanifolds
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Author : Bang-Yen Chen
language : en
Publisher: Springer Nature
Release Date : 2022-06-27
Contact Geometry Of Slant Submanifolds written by Bang-Yen Chen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-27 with Mathematics categories.
This book contains an up-to-date survey and self-contained chapters on contact slant submanifolds and geometry, authored by internationally renowned researchers. The notion of slant submanifolds was introduced by Prof. B.Y. Chen in 1990, and A. Lotta extended this notion in the framework of contact geometry in 1996. Numerous differential geometers have since obtained interesting results on contact slant submanifolds. The book gathers a wide range of topics such as warped product semi-slant submanifolds, slant submersions, semi-slant ξ┴ -, hemi-slant ξ┴ -Riemannian submersions, quasi hemi-slant submanifolds, slant submanifolds of metric f-manifolds, slant lightlike submanifolds, geometric inequalities for slant submanifolds, 3-slant submanifolds, and semi-slant submanifolds of almost paracontact manifolds. The book also includes interesting results on slant curves and magnetic curves, where the latter represents trajectories moving on a Riemannian manifold under the action of magnetic field. It presents detailed information on the most recent advances in the area, making it of much value to scientists, educators and graduate students.
Minimal Submanifolds And Related Topics
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Author : Y. L. Xin
language : en
Publisher: World Scientific
Release Date : 2003
Minimal Submanifolds And Related Topics written by Y. L. Xin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
The Bernstein problem and the Plateau problem are central topics inthe theory of minimal submanifolds. This important book presents theDouglasOCoRado solution to the Plateau problem, but the main emphasisis on the Bernstein problem and its new developments in variousdirections: the value distribution of the Gauss image of a minimalsurface in Euclidean 3-space, Simons'' work for minimal graphichypersurfaces, and author''s own contributions to Bernstein typetheorems for higher codimension."
Memoirs Of The American Mathematical Society
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Author :
language : en
Publisher:
Release Date : 1950
Memoirs Of The American Mathematical Society written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1950 with Grassmann manifolds categories.
Real Hypersurfaces In Hermitian Symmetric Spaces
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Author : Jürgen Berndt
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-03-21
Real Hypersurfaces In Hermitian Symmetric Spaces written by Jürgen Berndt and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-21 with Mathematics categories.
Hermitian symmetric spaces are an important class of manifolds that can be studied with methods from Kähler geometry and Lie theory. This work gives an introduction to Hermitian symmetric spaces and their submanifolds, and presents classifi cation results for real hypersurfaces in these spaces, focusing on results obtained by Jürgen Berndt and Young Jin Suh in the last 20 years.