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

DUMMY

書目名稱Vanishing and Finiteness Results in Geometric Analysis影響因子(影響力)




書目名稱Vanishing and Finiteness Results in Geometric Analysis影響因子(影響力)學(xué)科排名




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書目名稱Vanishing and Finiteness Results in Geometric Analysis被引頻次




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書目名稱Vanishing and Finiteness Results in Geometric Analysis讀者反饋




書目名稱Vanishing and Finiteness Results in Geometric Analysis讀者反饋學(xué)科排名

教義

Ige326

Libido

整潔漂亮

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

PALMY

A finite-dimensionality result,tion . is the norm of the section of a suitable vector bundle. In appropriate circumstances, the theorem guarantees that certain vector subspaces of such sections are trivial, the main geometric assumption being the existence of a positive solution . of the differential inequality . where .(.) is a

背叛者

Applications to harmonic maps,rem which compares with classical work by Schoen and Yau, [146]. Direct inspection shows that our result, emphasizing the role of a suitable Schr?dinger operator related to the Ricci curvature of the domain manifold, unifies in a single statement the situations considered in [146]; see Remark 6.22 b

留戀

Analogy

A finite-dimensionality result,uch sections are trivial, the main geometric assumption being the existence of a positive solution . of the differential inequality . where .(.) is a lower bound for the relevant curvature term. According to Lemma 3.10 this amounts to requiring that the bottom of the spectrum of the Schr?dinger operator ?Δ ? .(.) is non-negative.

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