Zobrazeno 1 - 10
of 246
pro vyhledávání: '"Olmos, Carlos"'
We study isometric immersions $f: M^n \rightarrow \mathbb{H}^{n+1}$ into hyperbolic space of dimension $n+1$ of a complete Riemannian manifold of dimension $n$ on which a compact connected group of intrinsic isometries acts with principal orbits of c
Externí odkaz:
http://arxiv.org/abs/2408.03802
We classify totally geodesic submanifolds in Hopf-Berger spheres, which constitute a special family of homogeneous spaces diffeomorphic to spheres constructed via Hopf fibrations. As a byproduct of our investigations, we have discovered very intrigui
Externí odkaz:
http://arxiv.org/abs/2302.11711
We find new conditions that the existence of nullity of the curvature tensor of an irreducible homogeneous space $M=G/H$ imposes on the Lie algebra $\mathfrak g$ of $G$ and on the Lie algebra $\tilde{\mathfrak g}$ of the full isometry group of $M$. N
Externí odkaz:
http://arxiv.org/abs/2207.01746
Autor:
Berndt, Jurgen, Olmos, Carlos
In 1980, Onishchik introduced the index of a Riemannian symmetric space as the minimal codimension of a (proper) totally geodesic submanifold. He calculated the index for symmetric spaces of rank less than or equal to 2, but for higher rank it was un
Externí odkaz:
http://arxiv.org/abs/2003.01393
We show that the extended principal bundle of a Cartan geometry of type $(A(m,\mathbb{R}),GL(m,\mathbb{R}))$, endowed with its extended connection $\hat\omega$, is isomorphic to the principal $A(m,\mathbb{R})$-bundle of affine frames endowed with the
Externí odkaz:
http://arxiv.org/abs/1911.09031
The index of a Riemannian symmetric space is the minimal codimension of a proper totally geodesic submanifold (Onishchik, 1980). There is a conjecture by the first two authors for how to calculate the index. In this paper we give an affirmative answe
Externí odkaz:
http://arxiv.org/abs/1905.06250
We develop a general theory for irreducible homogeneous spaces $M= G/H$, in relation to the nullity $\nu$ of their curvature tensor. We construct natural invariant (different and increasing) distributions associated with the nullity, that give a deep
Externí odkaz:
http://arxiv.org/abs/1802.02642
Autor:
Berndt, Jurgen, Olmos, Carlos
Let M be an irreducible Riemannian symmetric space. The index i(M) of M is the minimal codimension of a (non-trivial) totally geodesic submanifold of M. The purpose of this note is to determine the index i(M) for all irreducible Riemannian symmetric
Externí odkaz:
http://arxiv.org/abs/1703.05555
Autor:
Olmos, Carlos, Riaño-Riaño, Richar
Let $M$ be a most singular orbit of the isotropy representation of a simple symmetric space. Let $(\nu _i, \Phi _i)$ be an irreducible factor of the normal holonomy representation $(\nu _pM, \Phi (p))$. We prove that there exists a basis of a section
Externí odkaz:
http://arxiv.org/abs/1702.01328
Autor:
Olmos, Carlos A. A.
L'entité formée par les villes de La Paz et El Alto est l'agglomération urbaine la plus importante de la Bolivie. Comme dans toutes les grandes villes, la gestion des ressources en eau représente un défi de taille à relever. Les décisions stra