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Dirac Operators in Riemannian Geometry (Graduate Studies in Mathematics)
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Description for Dirac Operators in Riemannian Geometry (Graduate Studies in Mathematics)
Hardcover. For a Riemannian manifold $M$, the geometry, topology and analysis are interrelated in ways that are widely explored in modern mathematics. This book examines the Dirac operator on Riemannian manifolds, especially its connection with the underlying geometry and topology of the manifold. Series: Graduate Studies in Mathematics. Num Pages: 208 pages, Illustrations. BIC Classification: PBK; PBMP; PBP. Category: (P) Professional & Vocational. Dimension: 258 x 182 x 17. Weight in Grams: 592.
For a Riemannian manifold $M$, the geometry, topology and analysis are interrelated in ways that are widely explored in modern mathematics. Bounds on the curvature can have significant implications for the topology of the manifold. The eigenvalues of the Laplacian are naturally linked to the geometry of the manifold. For manifolds that admit spin (or $\textrm {spin}^\mathbb{C}$) structures, one obtains further information from equations involving Dirac operators and spinor fields. In the case of four-manifolds, for example, one has the remarkable Seiberg-Witten invariants.In this text, Friedrich examines the Dirac operator on Riemannian manifolds, especially its connection with the underlying geometry ... Read more
For a Riemannian manifold $M$, the geometry, topology and analysis are interrelated in ways that are widely explored in modern mathematics. Bounds on the curvature can have significant implications for the topology of the manifold. The eigenvalues of the Laplacian are naturally linked to the geometry of the manifold. For manifolds that admit spin (or $\textrm {spin}^\mathbb{C}$) structures, one obtains further information from equations involving Dirac operators and spinor fields. In the case of four-manifolds, for example, one has the remarkable Seiberg-Witten invariants.In this text, Friedrich examines the Dirac operator on Riemannian manifolds, especially its connection with the underlying geometry ... Read more
Product Details
Format
Hardback
Publication date
2000
Publisher
American Mathematical Society
Condition
New
Series
Graduate Studies in Mathematics
Place of Publication
Providence, United States
ISBN
9780821820551
SKU
V9780821820551
Shipping Time
Usually ships in 5 to 9 working days
Ref
99-3
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