Results 151 to 160 of about 441,387 (187)

On CR-submanifolds of Hermitian manifolds

Israel Journal of Mathematics, 1979
In this paper we consider a CR-submanifold of a Hermitian manifold and prove various integrability theorems on the submanifold. When the ambient space is Kaehlerian a number of differential geometric results are also obtained.
Blair, David E., Chen, Bang-Yen
openaire   +1 more source

Paraquaternionic CR-Submanifolds

2016
Paraquaternionic structures, at first known as quaternionic structures of second kind, are due to P. Libermann. Their study parallels that of quaternionic manifolds, yet relies on the algebra of paraquaternionic numbers. The counterpart in odd dimension of a paraquaternionic structure was introduced in 2006 by S. Ianus, R. Mazzocco and G.E.
openaire   +1 more source

Ideal CR Submanifolds

2016
This chapter surveys some of the known results on \(\delta \)-ideal CR submanifolds in complex space forms, the nearly Kahler 6-sphere and odd dimensional unit spheres. In addition, the relationship between \(\delta \)-ideal CR submanifolds and critical points of the \(\lambda \)-bienergy functional is mentioned.
openaire   +1 more source

Lorentzian geometry of CR submanifolds

Acta Applicandae Mathematicae, 1989
A. Bejancu defined CR submanifolds of differentiable manifolds with a (positive definite) Riemannian metric and almost Hermitian structure as a generalization of holomorphic submanifolds and totally real submanifolds. In this article, the notion of CR submanifold is extended to orientable Lorentz submanifolds of semi-Riemannian manifolds with an almost
openaire   +2 more sources

Lorentzian Geometry and CR-Submanifolds

2016
This paper contains an up-to-date information on the Lorentzian geometry of CR-submanifolds, contact CR-submanifolds and globally framed CR-submanifolds (M, g) of an indefinite semi-Riemannian manifold. In view of the large number of excellent paper appearing in this field, we focus on those key results whose Lorentzian geometry is different than their
openaire   +1 more source

Totally umbilical CR-submanifolds of Kähler manifolds

TRU Mathematics, 1985
The authors prove the following important result. Any connected non totally geodesic but totally umbilical proper CR-submanifold of dimension greater than 4 in a Kähler manifold is a Sasakian manifold.
TOYONARI, TOSHITAKA, NEMOTO, HIROAKI
openaire   +2 more sources

CR Submanifolds

1983
Kentaro Yano, Masahiro Kon
openaire   +1 more source

Statistical submanifolds from a viewpoint of the Euler inequality

Information Geometry, 2020
Naoto Satoh, Hitoshi Furuhata, Aliy Naaz Siddiqui   +2 more
exaly  

Golden GCR-Lightlike Submanifolds of Golden Semi-Riemannian Manifolds

Mediterranean Journal of Mathematics, 2020
Nergiz Poyraz
exaly  

H-Umbilical Lagrangian Submanifolds of the Nearly Kähler \( {\mathbb{S}^3\times\mathbb{S}^3} \)

Mathematics, 2020
MIROSLAVA Antic, Marilena Moruz, Joeri Van der Veken   +2 more
exaly