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pro vyhledávání: '"Secondary: 57R40"'
Autor:
Fujita, Masato, Kawakami, Tomohiro
We consider a definably complete locally o-minimal expansion of an ordered field. We treat two topics in this paper. The first topic is a definable $\mathcal C^r$ approximation of a definable $\mathcal C^{r-1}$ map between definable $\mathcal C^r$ su
Externí odkaz:
http://arxiv.org/abs/2301.04264
Autor:
Wang, Zhongzi
Suppose a finite group $G$ acts on a manifold $M$. By a theorem of Mostow, also Palais, there is a $G$-equivariant embedding of $M$ into the $m$-dimensional Euclidean space $\RR^{m}$ for some $m$. We are interested in some explicit bounds of such $m$
Externí odkaz:
http://arxiv.org/abs/2208.14633
Autor:
Chen, Gui-Qiang G., Li, Siran
Publikováno v:
Non-linear partial differential equations, mathematical physics, and stochastic analysis, 73--95, EMS Ser. Congr. Rep., Eur. Math. Soc., Z\"{u}rich, 2018
We present a compensated compactness theorem in Banach spaces established recently, whose formulation is originally motivated by the weak rigidity problem for isometric immersions of manifolds with lower regularity. As a corollary, a geometrically in
Externí odkaz:
http://arxiv.org/abs/1610.01649
Autor:
Chen, Gui-Qiang G., Li, Siran
We are concerned with the global weak rigidity of the Gauss-Codazzi-Ricci (GCR) equations on Riemannian manifolds and the corresponding isometric immersions of Riemannian manifolds into the Euclidean spaces. We develop a unified intrinsic approach to
Externí odkaz:
http://arxiv.org/abs/1607.06862
Let $M$ be a compact hypersurface with boundary $\partial M=\partial D_1 \cup \partial D_2$, $\partial D_1 \subset \Pi _1$, $\partial D_2 \subset \Pi _2$, $\Pi_1$ and $\Pi _2$ two parallel hyperplanes in $\mathbb{R}^{n+1}$ ($n \geq 2$). Suppose that
Externí odkaz:
http://arxiv.org/abs/1601.02959
Autor:
Masato Fujita, Tomohiro Kawakami
Publikováno v:
Masato Fujita
We consider a definably complete locally o-minimal expansion of an ordered field. The first author proposed the notion of special submanifolds with tubular neighborhoods and demonstrated that a definable set is partitioned into finitely many special
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8da7da18f2ba0698070fa88019f34803
Autor:
Lambrechts, Pascal, Turchin, Victor
Publikováno v:
Transactions of the American Mathematical Society, 2009 Jan 01. 361(1), 207-222.
Externí odkaz:
https://www.jstor.org/stable/40302766
Autor:
Siran Li, Gui-Qiang Chen
Publikováno v:
Journal of Geometric Analysis
We are concerned with the global weak rigidity of the Gauss-Codazzi-Ricci (GCR) equations on Riemannian manifolds and the corresponding isometric immersions of Riemannian manifolds into the Euclidean spaces. We develop a unified intrinsic approach to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a585fb938bd42a0017776c66bdbf7c4f
http://europepmc.org/articles/PMC6294193
http://europepmc.org/articles/PMC6294193
Autor:
Monica Moulin Ribeiro Merkle
Publikováno v:
Filomat. 31:4483-4490
Let $M$ be a compact hypersurface with boundary $\partial M=\partial D_1 \cup \partial D_2$, $\partial D_1 \subset \Pi _1$, $\partial D_2 \subset \Pi _2$, $\Pi_1$ and $\Pi _2$ two parallel hyperplanes in $\mathbb{R}^{n+1}$ ($n \geq 2$). Suppose that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65f6678e69aa0dbe31e22ce7bd739edd
https://doi.org/10.2298/fil1714483r
https://doi.org/10.2298/fil1714483r
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