Titlebook: Vanishing and Finiteness Results in Geometric Analysis; A Generalization of Stefano Pigola,Alberto G. Setti,Marco Rigoli Book 2008 Birkhäu

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Book 2008resented concern the topology at infinity of submanifolds, L.p. cohomology, metric rigidity of manifolds with positive spectrum, and structure theorems for Kähler manifolds...The book is essentially self-contained and supplies in an original presentation the necessary background material not easily available in book form..

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0743-1643 y of manifolds with positive spectrum, and structure theorems for Kähler manifolds...The book is essentially self-contained and supplies in an original presentation the necessary background material not easily available in book form..978-3-7643-8642-9Series ISSN 0743-1643 Series E-ISSN 2296-505X

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,Harmonic, pluriharmonic, holomorphic maps and basic Hermitian and Kählerian geometry, that we shall need in the sequel. In doing so, we do not aim at giving a detailed treatment of the subject, but only to set down notation and relevant results, illustrating some of the computational techniques involved in the proofs.

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Vanishing results, constancy of harmonic maps, the topology at infinity of submanifolds, the .-cohomology, and the structure and rigidity of Riemannian and Kählerian manifolds (see Sections 6.1, 7.4, 7.5, 7.6, 8.1, and Appendix B).

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Vanishing and Finiteness Results in Geometric Analysis978-3-7643-8642-9Series ISSN 0743-1643 Series E-ISSN 2296-505X

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