Dirac Operators In Riemannian Geometry

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Dirac Operators in Riemannian Geometry
Language: en
Pages: 213
Authors: Thomas Friedrich
Categories: Mathematics
Type: BOOK - Published: 2000 - Publisher: American Mathematical Soc.

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For a Riemannian manifold M, the geometry, topology and analysis are interrelated in ways that have become widely explored in modern mathematics. Bounds on the
Dirac Operators in Riemannian Geometry
Language: en
Pages: 195
Authors: Thomas Friedrich
Categories: Mathematics
Type: BOOK - Published: 2000 - Publisher: American Mathematical Soc.

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Examines the Dirac operator on Riemannian manifolds, especially its connection with the underlying geometry and topology of the manifold. The presentation inclu
Heat Kernels and Dirac Operators
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Pages: 384
Authors: Nicole Berline
Categories: Mathematics
Type: BOOK - Published: 2003-12-08 - Publisher: Springer Science & Business Media

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In the first edition of this book, simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations
Introduction to Symplectic Dirac Operators
Language: en
Pages: 131
Authors: Katharina Habermann
Categories: Mathematics
Type: BOOK - Published: 2006-10-28 - Publisher: Springer

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This volume is the first one that gives a systematic and self-contained introduction to the theory of symplectic Dirac operators and reflects the current state
Dirac Operators and Spectral Geometry
Language: en
Pages: 227
Authors: Giampiero Esposito
Categories: Mathematics
Type: BOOK - Published: 1998-08-20 - Publisher: Cambridge University Press

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A clear, concise and up-to-date introduction to the theory of the Dirac operator and its wide range of applications in theoretical physics for graduate students