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 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 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 ...
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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 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 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.
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Add this copy of Dirac Operators in Riemannian Geometry (Graduate to cart. $102.19, new condition, Sold by Just one more Chapter rated 5.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 2000 by American Mathematical Society.
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New. 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. 2000. Hardcover.....We ship daily from our Bookshop.
Add this copy of Dirac Operators in Riemannian Geometry to cart. $153.58, new condition, Sold by Ria Christie Books rated 5.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2000 by American Mathematical Society.