Results 141 to 150 of about 662,217 (166)

Geometry of CR-Submanifolds and Applications

Infosys Science Foundation Series
Bang-Yen Chen, Mohammad Hasan Shahid, Gabriel-Eduard Vîlcu   +2 more
openaire   +2 more sources

Submersions of CR Submanifolds

2016
O’Neill introduced the notion of Riemannian submersions (cf. O’Neill, Mich. Math. J. 13, 459–469, 1966, [28]). For the submersion \(\pi :M\longrightarrow N\) of a CR submanifold M of a Kaehler manifold \(\bar{M}\) onto an almost Hermitian manifold N, Kobayashi (cf. Kobayashi, Tohoku Math. J.
Mohammad Hasan Shahid, Falleh R. Al-Solamy, Mohammed Jamali   +2 more
openaire   +1 more source

A class of four-dimensional CR submanifolds in six dimensional nearly Kähler manifolds

Mathematica Slovaca, 2018
We investigate four-dimensional CR submanifolds in six-dimensional strict nearly Kähler manifolds. We construct a moving frame that nicely corresponds to their CR structure and use it to investigate CR submanifolds that admit a special type of doubly ...
M. Antić
semanticscholar   +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

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

CR Submanifolds of the Nearly Kähler $$\mathbb {S}^3\times \mathbb {S}^3$$S3×S3 Characterised by Properties of the Almost Product Structure

, 2018
In a previous paper (Antić et al., three-dimensional CR submanifolds of the nearly Kähler $$\mathbb {S}^{3}\times \mathbb {S}^{3}$$S3×S3, 2017), the authors together with L.
M. Antić, Nataša Djurdjević, Marilena Moruz   +2 more
semanticscholar   +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

Horizontally Conformal Submersions from CR-Submanifolds of Locally Conformal Quaternionic Kaehler Manifolds

Mediterranean Journal of Mathematics, 2022
Towseef Ali Wani, M. Lone
semanticscholar   +1 more source

Homology of contact 3-CR-submanifolds of an almost 3-contact hypersurface

, 2021
F. Şahin, B. Şahin
semanticscholar   +1 more source

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