Results 141 to 150 of about 5,734,057 (175)

Global properties on spacelike submanifolds of codimension two in Minkowski space [PDF]

open access: yesHokkaido University Preprint Series in Mathematics, 2007
We consider codimension two spacelike submanifolds with a parallel normal field (i.e. vanishing normal curvature) in Minkowski space. We use the analysis of their contacts with hyperplane and hyperquadrics in order to get some global informations on them.
Izumiya, Shyuichi   +2 more
openaire   +3 more sources

Minimal Homogeneous Submanifolds in Euclidean Spaces [PDF]

open access: yesAnnals of Global Analysis and Geometry, 2002
We prove that minimal (extrinsically) homogeneous submanifolds of the Euclidean space are totally geodesic. As an application, we obtain that a complex (intrisecally) homogeneous submanifold of a complex Euclidean space must be totally ...
Antonio José Di Scala
exaly   +2 more sources

Global Rigidity Theorems for Submanifolds with Parallel Mean Curvature

Acta Mathematica Scientia, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pan, Pengfei, Xu, Hongwei, Zhao, Entao
openaire   +2 more sources

Substantial Codimension of Submanifolds: Global Results

Bulletin of the London Mathematical Society, 1987
This is an extension of work of the second author and \textit{R. Tribuzy} [Math. Z. 185, 321-331 (1984; Zbl 0524.53038)] to the case of varying dimension of the first normal space. The formulation of the results and the method of proof are based on the notion of relative nullity.
Dajczer, Marcos, Rodríguez, Lucio
openaire   +2 more sources

RELATIONS OF TWO TRANSVERSAL SUBMANIFOLDS AND GLOBAL MANIFOLD

International Journal of Modern Physics A, 2001
In Riemann geometry, the relations of two transversal submanifolds and global manifold are discussed without any concrete models. By replacing the normal vector of a submanifold with the tangent vector of another submanifold, the metric tensors, Christoffel symbols and curvature tensors of the three manifolds are connected at the intersection points ...
Yang, Guohong   +3 more
openaire   +2 more sources

On Totally Real Submanifolds

open access: yesTransactions of the American Mathematical Society, 1974
Complex analytic submanifolds and totally real submanifolds are two typical classes among all submanifolds of an almost Hermitian manifold. In this paper, some characterizations of totally real submanifolds are given.
Chen Bang-yen, Koichi Ogiue
exaly   +2 more sources

A local and global splitting result for real K�hler Euclidean submanifolds

Archiv der Mathematik, 2005
The authors investigate the structure of real Kähler Euclidean submanifolds, that is, isometric immersions \(f\) of a Kähler manifold \(M^{2n}\) into \({\mathbb R}^{2n+p}\). Such an immersion is called pluriharmonic if every holomorphic curve in \(M\) is mapped by \(f\) onto a minimal surface in \({\mathbb R}^{2n+p}\).
Florit, Luis A., Zheng, Fangyang
openaire   +1 more source

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