共查询到20条相似文献,搜索用时 31 毫秒
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Alexandru Dimca 《Journal of Algebra》2009,321(11):3145-3157
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Petru Mironescu 《Comptes Rendus Mathematique》2010,348(13-14):743-746
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We consider a closed hypersurface with identically zero Gauß–Kronecker curvature. We prove that if has constant mean curvature H, then is minimal, i.e., . This result extends Ramanathan's classification (Math. Z. 205 (1990) 645–658) result of closed minimal hypersurfaces of with vanishing Gauß–Kronecker curvature. To cite this article: T. Lusala, A. Gomes de Oliveira, C. R. Acad. Sci. Paris, Ser. I 340 (2005). 相似文献
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Qiyu Sun 《Applied and Computational Harmonic Analysis》2012,32(3):329-341
In this paper, it is proved that every s-sparse vector can be exactly recovered from the measurement vector via some -minimization with , as soon as each s-sparse vector is uniquely determined by the measurement z. Moreover it is shown that the exponent q in the -minimization can be so chosen to be about , where is the restricted isometry constant of order 2s for the measurement matrix A. 相似文献
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Let S be a smooth 2-codimensional real compact submanifold of , . We address the problem of finding a compact hypersurface M, with boundary S, such that is Levi-flat. We prove the following theorem. Assume that (i) S is nonminimal at every CR point, (ii) every complex point of S is flat and elliptic and there exists at least one such point, (iii) S does not contain complex submanifolds of dimension . Then there exists a Levi-flat -subvariety with negligible singularities and boundary (in the sense of currents) such that the natural projection restricts to a CR diffeomorphism between S and . To cite this article: P. Dolbeault et al., C. R. Acad. Sci. Paris, Ser. I 341 (2005). 相似文献
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Michael Cuntz 《Journal of Algebra》2008,319(11):4536-4558
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Philippe G. Ciarlet Liliana Gratie Cristinel Mardare 《Comptes Rendus Mathematique》2005,341(3):201-206
The main purpose of this Note is to show how a ‘nonlinear Korn's inequality on a surface’ can be established. This inequality implies in particular the following interesting per se sequential continuity property for a sequence of surfaces. Let ω be a domain in , let be a smooth immersion, and let , , be mappings with the following properties: They belong to the space ; the vector fields normal to the surfaces , , are well defined a.e. in ω and they also belong to the space ; the principal radii of curvature of the surfaces stay uniformly away from zero; and finally, the three fundamental forms of the surfaces converge in toward the three fundamental forms of the surface as . Then, up to proper isometries of , the surfaces converge in toward the surface as . To cite this article: P.G. Ciarlet et al., C. R. Acad. Sci. Paris, Ser. I 341 (2005). 相似文献
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《Journal de Mathématiques Pures et Appliquées》2006,85(1):2-16
Let ω be a domain in and let be a smooth immersion. The main purpose of this paper is to establish a “nonlinear Korn inequality on the surface ”, asserting that, under ad hoc assumptions, the -distance between the surface and a deformed surface is “controlled” by the -distance between their fundamental forms. Naturally, the -distance between the two surfaces is only measured up to proper isometries of .This inequality implies in particular the following interesting per se sequential continuity property for a sequence of surfaces. Let , , be mappings with the following properties: They belong to the space ; the vector fields normal to the surfaces , , are well defined a.e. in ω and they also belong to the space ; the principal radii of curvature of the surfaces , , stay uniformly away from zero; and finally, the fundamental forms of the surfaces converge in toward the fundamental forms of the surface as . Then, up to proper isometries of , the surfaces converge in toward the surface as .Such results have potential applications to nonlinear shell theory, the surface being then the middle surface of the reference configuration of a nonlinearly elastic shell. 相似文献
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Masoud Hassani 《Comptes Rendus Mathematique》2017,355(11):1133-1137
In this paper, we study the irreducible representation of in . This action preserves a quadratic form with signature . Thus, it acts conformally on the 3-dimensional Einstein universe . We describe the orbits induced in and its complement in . This work completes the study in [2], and is one element of the classification of cohomogeneity one actions on [5]. 相似文献
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We show that there is a constant such that, for any set P of n⩾ 5 points in general position in the plane, a crossing-free geometric graph on P that is chosen uniformly at random contains, in expectation, at least edges, where M denotes the number of edges in any triangulation of P. From this we derive (to our knowledge) the first non-trivial upper bound of the form on the number of crossing-free geometric graphs on P; that is, at most a fixed exponential in n times the number of triangulations of P. (The trivial upper bound of , or , follows by taking subsets of edges of each triangulation.) If the convex hull of P is triangular, then , and we obtain .Upper bounds for the number of crossing-free geometric graphs on planar point sets have so far applied the trivial factor to the bound for triangulations; we slightly decrease this bound to . 相似文献
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Steven Simon 《Journal of Combinatorial Theory, Series A》2013,120(7):1906-1912
Equivariant Ham Sandwich Theorems are obtained for the classical algebras and the finite subgroups G of their unit spheres. Given any n -valued Borel measures on and any n-dimensional free -unitary representation of G, it is shown that there exists a Voronoi partition of naturally determined by G which “G-balances” each measure, as realized by the simultaneous vanishing of each “G-average” of the measures of the partition?s isometric fundamental domains. Applications for real measures follow, among them that any n signed mass distributions on can be equipartitioned by a single complex regular p-fan if p is an odd prime. 相似文献