Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Primary 53C20, Secondary 53C42"'
Autor:
Simanca, Santiago R.
We identify the cone of smooth metrics $\mc{M}(M)$ on a manifold $M^n$ with the space of smooth isometric embeddings $f_g: (M,g) \rightarrow (\mb{S}^{\tn},\tg)$ into a standard sphere of large dimension $\tn=\tn(n)$, and their isotopic deformations,
Externí odkaz:
http://arxiv.org/abs/2405.16014
Autor:
Simanca, Santiago R
We define inductively isometric embeddings of $\mb{P}^n(\mb{R})$ and $\mb{P}^n(\mb{C})$ (with their canonical metrics conveniently scaled) into the standard unit sphere, which present the former as the restriction of the latter to the set of real poi
Externí odkaz:
http://arxiv.org/abs/1812.10173
Autor:
Mendonça, Sérgio, Mirandola, Heudson
In this paper we consider on a complete Riemannian manifold $M$ an immersed totally geodesic hypersurface $\Si$ existing together with an immersed submanifold $N$ without focal points. No curvature condition is needed. We obtained several connectedne
Externí odkaz:
http://arxiv.org/abs/1108.1822
Autor:
Santiago R. Simanca
We define inductively isometric embeddings of $\mb{P}^n(\mb{R})$ and $\mb{P}^n(\mb{C})$ (with their canonical metrics conveniently scaled) into the standard unit sphere, which present the former as the restriction of the latter to the set of real poi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bcdf6e0a1230bf0f2896968849958cc8
http://arxiv.org/abs/1812.10173
http://arxiv.org/abs/1812.10173
Autor:
Heudson Mirandola, Sérgio Mendonça
Publikováno v:
Indiana University Mathematics Journal. 62:1075-1103
In this paper we consider on a complete Riemannian manifold $M$ an immersed totally geodesic hypersurface $\Si$ existing together with an immersed submanifold $N$ without focal points. No curvature condition is needed. We obtained several connectedne
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62d2ae83518d79f2bd2474edb369bc90
https://doi.org/10.1512/iumj.2013.62.5097
https://doi.org/10.1512/iumj.2013.62.5097
