manuscripta mathematica
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Deux remarques sur les flots riemanniens
manuscripta mathematica - Tập 51 - Trang 145-161 - 1985
Let M be a connected oriented closed n-manifold. A riemannian flow
$$\mathfrak{F}$$
on M is an oriented one dimensional foliation which admits a bundle-like metric. We give a caracterization of isometric flows as riemannian flows whose basic cohomology H
b
n−1
......
A generalization of Steiner symmetrization for immersed surfaces and its applications
manuscripta mathematica - Tập 87 - Trang 311-325
We generalize the classical Steiner symmetrization to surfaces with self-intersections. Then we apply the generalized Steiner symmetrization to several isoperimetric problems. For example, let Г⊂ℝ3 be an analytic plane Jordan curve which is symmetric with respect to a plane ϖ (ϖ⊅Г). LetS be a compact immersed surface bounded by Λ which has the smallest area among all compact surfaces bounded by Λ ......
Finsler structures of negative curvature in ⊄-linear fibre spaces
manuscripta mathematica - Tập 34 - Trang 121-133 - 1981
Let X be a reduced compact complex space and E→X a ⊄-linear fibre space. Let P(E) be the associated projective variety over X and let L(E) be the canonical line bundle over P(E). Generalizing a result of Kobayashi, we prove that E carries a Finsler metric of negative curvature if and only if L(E)red→P(E)red carries an Hermitian metric of negative curvature.
On the sublinear functional associated to a family of invariant means
manuscripta mathematica - Tập 55 - Trang 101-109 - 1986
In this paper we give conditions under which we can obtain explicit analytic expressions of the fundamental sublinear functional PK of the family of means K=[G]∩J where [G] is a subset of G-invariant means, G a semigroup of operators on 1∞ and J a saturated set of means. Such conditions allow us to assure that [G]∩J≠φ. We characterize the set of the almost convergent sequences related to the famil......
Local-global compatibility of mod p Langlands program for certain Shimura varieties
manuscripta mathematica - Tập 172 - Trang 375-403 - 2022
We generalize the local-global compatibility result in as reported by Scholze (Appendix by Michael Rapoport, Annales de l’ENS., 2018) to higher dimensional cases, by examining the relation between Scholze’s functor and cohomology of Kottwitz-Harris-Taylor type Shimura varieties. Along the way we prove a cuspidality criterion from type theory. We also deal with compatibility for torsion classes in ......
Isometric embeddings of 2-spheres into Schwarzschild manifolds
manuscripta mathematica - Tập 149 - Trang 459-469 - 2015
Let g be a Riemannian metric on the 2-sphere S
2. Results on isometric embeddings of (S
2, g) into a fixed model manifold often have implications in quasi-local mass related problems in general relativity. In this paper, motivated by the definitions of the Brown–York and the Wang–Yau mass, we consider isometric embeddings of (S
......
Algebraic cycles and vector bundles on real affine threefolds
manuscripta mathematica - Tập 60 - Trang 211-216 - 1988
LetX=Spec(B), whereB is a regular ring of Krull dimension 3 which is a finitely generatedR-algebra. We give necessary and sufficient conditions for the existence of a vector bundle of rank 3 onX with prescribed Chern classes. 1 Research supported by NSF Grant DMS-8602672
Tính bất biến của một số lớp toán tử dưới các trung bình phi giao hoán Dịch bởi AI
manuscripta mathematica - Tập 13 - Trang 73-81 - 1974
Cho ℋ là một nhóm các *-tự đồng cấu trên đại số các toán tử tuyến tính bị chặn trong không gian Hilbert phức H. Khi đó, bao lấp lồi mạnh của quỹ đạo của bất kỳ toán tử compact nào dưới ℋ bao gồm các toán tử compact. Điều tương tự cũng xảy ra nếu thay 'compact' bằng 'hạt nhân', 'Hilbert-Schmidt' hoặc 'Fredholm dương'. Chúng tôi tiếp tục thảo luận về các kết quả này trong khuôn khổ định lý trung bìn......
#toán tử compact #toán tử hạt nhân #toán tử Hilbert-Schmidt #toán tử Fredholm dương #trung bình phi giao hoán #không gian Hilbert
Theta dichotomy for the genuine unramified principal series of $${\widetilde{Sp}_2(F)}$$
manuscripta mathematica - Tập 137 - Trang 159-194 - 2011
Let F be a p-adic field with odd residual characteristic. This work is the continuation of a previous paper that contains some detailed computations of the doubling integral for irreducible constituents
$${(\pi, \mathcal{V}_{\pi})}$$
of the genuine unramified principal series of
......
Rational approximation to values of G-functions, and their expansions in integer bases
manuscripta mathematica - - 2018
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