Differential geometry for physicists

by Hou, Bo-Yu

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Title Statements

Full title :Differential geometry for physicists / Bo-Yu Hou, Bo-Yuan Hou.

Edition Statements

Publication Date:©1997

Publication Statements

Publisher(s):World Scientific
Place of Publication:Singapore
Language:eng
Publication Date:©1997

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9789812819550, 981281955X
oclc:on1020616223
LC Classification:QC20.7.D5
Dewey Decimal:516.3602453

1. Differentiable Manifolds and Differential Forms -- 2. Transformation of Manifold, Manifolds with Given Vector Fields and Lie Group Manifold -- 3. Affine Connection and Covariant Differentiation -- 4. Riemannian Manifold -- 5. Symplectic Manifold and Contact Manifold -- 6. Complex Manifolds -- 7. Homology of Manifolds -- 8. Homotopy of Manifold, Fibre Bundle, Classification of Fibre Bundles -- 9. Differential Geometry of Fibre Bundle, Yang-Mills Gauge Theory -- 10. Characteristic Classes -- 11. The Atiyah-Singer Index Theorem -- 12. Index Theorem on Manifold with Boundary and on Open Infinite Manifold -- 13. Family Index Theorem, Topological properties of Quantum Gauge Theory -- 14. Noncommutative Geometry, Quantum Group, and q-deformation of Chern-Characters -- App. A. Simple Introduction to Set Theory -- App. B. Preliminary Topology -- App. C. Some Basic Algebraic Structures -- App. D. Homomorphism of Algebraic Structure and Tensor Algebra -- App. E. Exact Sequence of Homomorphism -- App. F. Abelian Group -- App. G. Stokes' Theorem -- App. H. Quarternion and Milnor Exotic Spheres -- App. I. Generalized Kronecker