Perspectives In Scalar Curvature In 2 Volumes
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Perspectives In Scalar Curvature In 2 Volumes
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Author : Mikhail L Gromov
language : en
Publisher: World Scientific
Release Date : 2022-12-19
Perspectives In Scalar Curvature In 2 Volumes written by Mikhail L Gromov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-19 with Mathematics categories.
Volume I contains a long article by Misha Gromov based on his many years of involvement in this subject. It came from lectures delivered in Spring 2019 at IHES. There is some background given. Many topics in the field are presented, and many open problems are discussed. One intriguing point here is the crucial role played by two seemingly unrelated analytic means: index theory of Dirac operators and geometric measure theory.Very recently there have been some real breakthroughs in the field. Volume I has several survey articles written by people who were responsible for these results.For Volume II, many people in areas of mathematics and physics, whose work is somehow related to scalar curvature, were asked to write about this in any way they pleased. This gives rise to a wonderful collection of articles, some with very broad and historical views, others which discussed specific fascinating subjects.These two books give a rich and powerful view of one of geometry's very appealing sides.
Perspectives In Scalar Curvature
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Author : Mikhael Gromov
language : en
Publisher:
Release Date : 2023
Perspectives In Scalar Curvature written by Mikhael Gromov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Curvature categories.
"Volume I contains a long article by Misha Gromov based on his many years of involvement in this subject. It came from lectures delivered in Spring 2019 at IHES. There is some background given. Many topics in the field are presented, and many open problems are discussed. One intriguing point here is the crucial role played by two seemingly unrelated analytic means: index theory of Dirac operators and geometric measure theory. Very recently there have been some real breakthroughs in the field. Volume I has several survey articles written by people who were responsible for these results. For Volume II, many people in areas of mathematics and physics, whose work is somehow related to scalar curvature, were asked to write about this in any way thay pleased. This gives rise to a wonderful collection of articles, some with very broad and historical views, others which discussed specific fascinating subjects. These two books give a rich and powerful view of one of geometry's very appealing sides"--
Perspectives In Riemannian Geometry
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Author : Vestislav Apostolov
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Perspectives In Riemannian Geometry written by Vestislav Apostolov 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 2006 with Mathematics categories.
Special geometries as well as the relation between curvature and topology have always been of interest to differential geometers. More recently, these topics have turned out to be of use in physical problems related to string theory as well. This volume provides a unique and thorough survey on the latest developments on Riemannian geometry, special geometrical structures on manifolds, and their interactions with other fields such as mathematical physics, complex analysis, andalgebraic geometry. This volume presents ten papers written by participants of the ``Short Program on Riemannian Geometry,'' a workshop held at the CRM in Montreal in 2004. It will be a valuable reference for graduate students and research mathematicians alike. Information for our distributors: Titles inthis series are copublished with the Centre de Recherches Mathematiques.
Volume Growth And Positive Scalar Curvature
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Author : Guihua Gong
language : en
Publisher:
Release Date : 1999
Volume Growth And Positive Scalar Curvature written by Guihua Gong and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Directions In General Relativity Volume 2
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Author : B. L. Hu
language : en
Publisher: Cambridge University Press
Release Date : 1993-07-22
Directions In General Relativity Volume 2 written by B. L. Hu and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-07-22 with Science categories.
These two volumes are the proceedings of a major International Symposium on General Relativity held at the University of Maryland in March 1993 to celebrate the sixtieth birthdays of Professor Charles Misner and Professor Dieter Brill. The volumes cover classical general relativity, quantum gravity and quantum cosmology, canonical formulation and the initial value problem, topology and geometry of spacetime and fields, mathematical and physical cosmology, and black hole physics and astrophysics. As invited articles, the papers in these volumes have an aim which goes beyond that of a standard conference proceedings. Not only do the authors discuss the most recent research results in their fields, but many also provide historical perspectives on how the subjects have developed and offer individual insights in their search for new directions.
Supergravity And Superstrings A Geometric Perspective In 3 Volumes
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Author : Castellani Leonardo
language : en
Publisher: World Scientific Publishing Company
Release Date : 1991-06-11
Supergravity And Superstrings A Geometric Perspective In 3 Volumes written by Castellani Leonardo and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-06-11 with categories.
This book provides a self-contained presentation of supergravity theories from its fundamentals to its most recent union with string and superstring theories, which are also reviewed in a self-contained manner. The subject is presented consistently in a unified geometric formalism, relying on the calculus of exterior forms and the mathematics needed to develop the theory is explained in appropriate chapters.
A Perspective On Canonical Riemannian Metrics
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Author : Giovanni Catino
language : en
Publisher: Springer Nature
Release Date : 2020-10-23
A Perspective On Canonical Riemannian Metrics written by Giovanni Catino and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-23 with Mathematics categories.
This book focuses on a selection of special topics, with emphasis on past and present research of the authors on “canonical” Riemannian metrics on smooth manifolds. On the backdrop of the fundamental contributions given by many experts in the field, the volume offers a self-contained view of the wide class of “Curvature Conditions” and “Critical Metrics” of suitable Riemannian functionals. The authors describe the classical examples and the relevant generalizations. This monograph is the winner of the 2020 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics.
Scalar Curvature Of A Metric With Unit Volume
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Author : O. Kobayashi
language : en
Publisher:
Release Date : 1986
Scalar Curvature Of A Metric With Unit Volume written by O. Kobayashi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Lectures On Optimal Transport
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Author : Luigi Ambrosio
language : en
Publisher: Springer Nature
Release Date : 2021-07-22
Lectures On Optimal Transport written by Luigi Ambrosio and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-22 with Mathematics categories.
This textbook is addressed to PhD or senior undergraduate students in mathematics, with interests in analysis, calculus of variations, probability and optimal transport. It originated from the teaching experience of the first author in the Scuola Normale Superiore, where a course on optimal transport and its applications has been given many times during the last 20 years. The topics and the tools were chosen at a sufficiently general and advanced level so that the student or scholar interested in a more specific theme would gain from the book the necessary background to explore it. After a large and detailed introduction to classical theory, more specific attention is devoted to applications to geometric and functional inequalities and to partial differential equations.
Scalar Curvature Of A Metric With Unit Volume
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Author : Osamu Kobayashi
language : de
Publisher:
Release Date : 1986
Scalar Curvature Of A Metric With Unit Volume written by Osamu Kobayashi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.