Shlomo Sternberg. Curvature in Mathematics and Physics . Mineola, N.Y.: Dover Publications, 2012. ISBN 978-0-486-47855-5. Pp. ii + 405The textbook serves as an overall guide to various conceptions of curvature invoked in modern theories of physics, but none of its contents struck me as ...
Univalent Foundations New Foundations of Mathematics Vladimir Voevodsky 50:13 Vanishing cycles and bilinear forms - Will Sawin 58:58 Universality in the 2D Coulomb Gas Pierluigi Falco - 副本 01:05:29 Volume and Homology for Hyperbolic 3-Orbifolds.Arithmetic Groups - Peter Shalen 02:06:53 ...
It introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as ... S Sternberg - Dover Pubications, Inc. ; 被引量: 37发表: 2012年 Curvature in mathematics and physics It introduces semi-Riemannian geome...
In subject area: Mathematics A curve whose geodesic curvature is zero everywhere is called a geodesic, and it is (locally) the shortest distance between two points on the surface. From: The Language of Shape, 1997 About this pageSet alert Also in subject area: EngineeringDiscover other topics...
This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the Chern–Weil theory of characteristic classes on a principal bundle....
Test (a) on the three preceding exercises and on Example 2.8. Read more View chapterExplore book The Mathematics of Curvature STEPHEN HYDE, ... SVEN LIDIN, in The Language of Shape, 1997 1.7 The Gauss-Bonnet theorem The Gauss-Bonnet theorem is a profound theorem of differential geometry, ...
T Ekholm,A Szucs,T Terpai - 《Kyushu Journal of Mathematics》 被引量: 19发表: 2007年 Accurate control of hyperbolic trajectories in any dimension its attached stable and unstable manifolds, which have relevance in fluid flow barriers, chaotic basin boundaries, and the long-term behavior of the...
Stumbles, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, S... Nehls MC, Krause S, Boehm T. MC Nehls,S Krause,T Boehm - 《Mammalian Genome Official Journal of the International Mammalian Genome Society》 被引量: 0发表: 1994年 Hypersurfaces Immersed in a ...
Symmetries and Curvature Structure in General Relativity (World Scientific Lecture Notes in Physics Vol 47) This book is concerned with mathematical topics related to general relativity. Chapters 1-6 are expositions of a number of parts of mathematics which are i... A Rendall - 《Classical & Qua...
The concept of Berry phase and Berry curvature has become ubiquitous in solid state physics as it relates to variety of phenomena, such as topological insulators, polarization, and various Hall effects. It is well known that large Berry curvatures arise from close proximity of hybridizing bands, ...