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Global Analysis on Foliated Spaces
Moore, Calvin C.; Schochet, Claude L.
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Description for Global Analysis on Foliated Spaces
Paperback. Series: Mathematical Sciences Research Institute Publications. Num Pages: 337 pages, biography. BIC Classification: PBPD; PHU. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 18. Weight in Grams: 527.
Global analysis has as its primary focus the interplay between the local analysis and the global geometry and topology of a manifold. This is seen classicallv in the Gauss-Bonnet theorem and its generalizations. which culminate in the Ativah-Singer Index Theorem [ASI] which places constraints on the solutions of elliptic systems of partial differential equations in terms of the Fredholm index of the associated elliptic operator and characteristic differential forms which are related to global topologie al properties of the manifold. The Ativah-Singer Index Theorem has been generalized in several directions. notably by Atiyah-Singer to an index theorem for families [AS4]. ... Read more
Global analysis has as its primary focus the interplay between the local analysis and the global geometry and topology of a manifold. This is seen classicallv in the Gauss-Bonnet theorem and its generalizations. which culminate in the Ativah-Singer Index Theorem [ASI] which places constraints on the solutions of elliptic systems of partial differential equations in terms of the Fredholm index of the associated elliptic operator and characteristic differential forms which are related to global topologie al properties of the manifold. The Ativah-Singer Index Theorem has been generalized in several directions. notably by Atiyah-Singer to an index theorem for families [AS4]. ... Read more
Product Details
Format
Paperback
Publication date
2011
Publisher
Springer-Verlag New York Inc. United States
Number of pages
337
Condition
New
Series
Mathematical Sciences Research Institute Publications
Number of Pages
337
Place of Publication
New York, NY, United States
ISBN
9781461395942
SKU
V9781461395942
Shipping Time
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Ref
99-15
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