Zobrazeno 1 - 10
of 291
pro vyhledávání: '"DAJCZER, M."'
Autor:
Dajczer, M., Vlachos, Th.
We identify as topological spheres those complete submanifolds lying with any codimension in hyperbolic space whose Ricci curvature satisfies a lower bound contingent solely upon the length of the mean curvature vector of the immersion.
Externí odkaz:
http://arxiv.org/abs/2404.14023
This paper presents two results in the realm of conformal Kaehler submanifolds. These are conformal immersions of Kaehler manifolds into the standard flat Euclidean space. The proofs are obtained by making a rather strong use of several facts and tec
Externí odkaz:
http://arxiv.org/abs/2310.09072
Let the warped product $M^n=L^m\times_\varphi F^{n-m}$, $n\geq m+3\geq 8$, of Riemannian manifolds be an Einstein manifold with Ricci curvature $\rho$ that admits an isometric immersion into Euclidean space with codimension two. Under the assumption
Externí odkaz:
http://arxiv.org/abs/2210.09568
Autor:
Chion, S., Dajczer, M.
The local classification of Kaehler submanifolds $M^{2n}$ of the hyperbolic space $\mathbb{H}^{2n+p}$ with low codimension $2\leq p\leq n-1$ under only intrinsic assumptions remains a wide open problem. The situation is quite different for submanifol
Externí odkaz:
http://arxiv.org/abs/2210.09438
Autor:
Chion, S., Dajczer, M.
Let $f\colon M^{2n}\to\mathbb{R}^{2n+4}$ be an isometric immersion of a Kaehler manifold of complex dimension $n\geq 5$ into Euclidean space with complex rank at least $5$ everywhere. Our main result is that, along each connected component of an open
Externí odkaz:
http://arxiv.org/abs/2204.11287
Autor:
Chion, S., Dajczer, M.
We show that generic rank conditions on the second fundamental form of an isometric immersion $f\colon M^{2n}\to\mathbb{R}^{2n+p}$ of a Kaehler manifold of complex dimension $n\geq 2$ into Euclidean space with low codimension $p$ implies that the sub
Externí odkaz:
http://arxiv.org/abs/2112.13061
In this paper we give local and global parametric classifications of a class of Einstein submanifolds of Euclidean space. The highlight is for submanifolds of codimension two since in this case our assumptions are only of intrinsic nature.
Externí odkaz:
http://arxiv.org/abs/2103.00224
We prove a converse to well-known results by E. Cartan and J. D. Moore. Let $f\colon M^n_c\to\Q^{n+p}_{\tilde c}$ be an isometric immersion of a Riemannian manifold with constant sectional curvature $c$ into a space form of curvature $\tilde c$, and
Externí odkaz:
http://arxiv.org/abs/2101.03586
We investigate the behavior of the second fundamental form of an isometric immersion of a space form with negative curvature into a space form so that the extrinsic curvature is negative. If the immersion has flat normal bundle, we prove that its sec
Externí odkaz:
http://arxiv.org/abs/2008.03929
In the realm of conformal geometry, we give a classification of the Euclidean hypersurfaces that admit a non-trivial conformal infinitesimal variation. In the restricted case of conformal variations, such a classification was obtained by E. Cartan in
Externí odkaz:
http://arxiv.org/abs/2005.05016