DUMMY
发表于 2025-3-21 17:53:43
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教义
发表于 2025-3-21 23:45:38
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Ige326
发表于 2025-3-22 02:33:09
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Libido
发表于 2025-3-22 06:34:44
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整洁漂亮
发表于 2025-3-22 09:39:05
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).
PALMY
发表于 2025-3-22 16:00:13
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
发表于 2025-3-22 19:25:56
Applications to harmonic maps,rem which compares with classical work by Schoen and Yau, . Direct inspection shows that our result, emphasizing the role of a suitable Schrödinger operator related to the Ricci curvature of the domain manifold, unifies in a single statement the situations considered in ; see Remark 6.22 b
留恋
发表于 2025-3-22 22:32:10
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Analogy
发表于 2025-3-23 03:07:32
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 Schrödinger operator −Δ − .(.) is non-negative.
表示向下
发表于 2025-3-23 08:09:17
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