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Differential Geometry and Symmetric Spaces by SIGURDUR HELGASON is a nonfiction available to read on EtoBox.

What is Differential Geometry and Symmetric Spaces about?

1 (p1): CHAPTER I Elementary Differential Geometry 2 (p1-1): 1.Manifolds 8 (p1-2): 2.Tensor Fields 8 (p1-2-1): 1.Vector Fields ard I-Forms 13 (p1-2-2): 2.The Tensor Algebra 17 (p1-2-3): 3.The Grassmann Algebra 19 (p1-2-4): 4.Exterior Differentiation 22 (p1-3): 3.Mappings 22 (p1-3-1): 1.The Interpretation of the Jacobian 24 (p1-3-2): 2.Transformation of Vector Fields 25 (p1-3-3): 3.Effect on Differential Forms 26 (p1-4): 4.Affine Connections 28 (p1-5): 5.Parallelism 32 (p1-6): 6.The Exponential Mapping 40 (p1-7): 7.Covariant Differentiation 43 (p1-8): 8.The Structural Equations 47 (p1-9): 9.The Riemannian Connection 55 (p1-10): 10.Complete Riemannian Manifolds 60 (p1-11): 11.Isometries 64 (p1-12): 12.Sectional Curvature 70 (p1-13): 13.Riemannian Manifolds of Negative Curvature 78 (p1-14): 14.Totally Geodesic Submanifolds 82 (p1-15): Exercises 85 (p1-16): Notes 87 (p2): CHAPTER II Lie Groups and Lie Algebras 88 (p2-1): 1.The Exponential Mapping 88 (p2-1-1): 1.The Lie Algebra of a Lie Group 90 (p2-1-2): 2.The Universal Enveloping Algebra 92 (p2-1-3): 3.Left Invariant Affine Connections 94 (p2-1-4): 4.Taylor's Formula and Applications 102 (p2-2): 2.Lie Subgroups and Subalgebras 110 (p2

Who reads Differential Geometry and Symmetric Spaces?

Author

SIGURDUR HELGASON

Publisher

ACADEMIC PRESS

Published

1962

Language

EN

Category

nonfiction

Subjects

Mathematics, Geometry And Topology, Stem