Results 31 to 40 of about 596,403 (183)

On submanifolds whose shape operator is unipotent [PDF]

, 2006
The object of this article is to characterize submanifolds of the Euclidean space whose shape operator is ...
Di Scala, Antonio Jose'
core   +1 more source

On Submersion of CR-Submanifolds of l.c.q.K. Manifold [PDF]

ISRN Geometry, 2012
We study submersion of CR-submanifolds of an l.c.q.K. manifold. We have shown that if an almost Hermitian manifoldBadmits a Riemannian submersionπ:M→Bof a CR-submanifoldMof a locally conformal quaternion Kaehler manifoldM¯, thenBis a locally conformal quaternion Kaehler manifold.
Choudhary, Majid Ali, Matehkolaee, Mahmood Jaafari, Jamali, Mohd.   +2 more
openaire   +2 more sources

Bi-Slant Submanifolds of Para Hermitian Manifolds

Mathematics, 2019
In this paper, we introduce the notion of bi-slant submanifolds of a para Hermitian manifold. They naturally englobe CR, semi-slant, and hemi-slant submanifolds. We study their first properties and present a whole gallery of examples.
Pablo Alegre, Alfonso Carriazo
doaj   +1 more source

Flexible and inflexible $CR$ submanifolds [PDF]

Arkiv för Matematik, 2019
In this paper we prove new embedding results for compactly supported deformations of $CR$ submanifolds of $\mathbb{C}^{n+d}$: We show that if $M$ is a $2$-pseudoconcave $CR$ submanifold of type $(n,d)$ in $\mathbb{C}^{n+d}$, then any compactly supported $CR$ deformation stays in the space of globally $CR$ embeddable in $\mathbb{C}^{n+d}$ manifolds ...
Brinkschulte, Judith, Hill, C. Denson
openaire   +3 more sources

Warped product semi-slant submanifolds in locally conformal Kaehler manifolds

Pracì Mìžnarodnogo Geometričnogo Centru, 2017
In 1994, in [13], N. Papaghiuc introduced the notion of semi-slant submanifold in a Hermitian manifold which is a generalization of CR- and slant-submanifolds. In particular, he considered this submanifold in Kaehlerian manifolds, [13]. Then, in 2007, V.
Koji Matsumoto
doaj   +1 more source

Geometric Properties of Potent CR-Submanifolds

Mathematics
In this paper, we propose and explore the notion of potent CR-submanifolds (PCRSs) within the framework of almost Hermitian potent manifolds (AHPMs).
Najwa Mohammed Al-Asmari, Rajendra Prasad, Abdul Haseeb, Abhinav Verma   +3 more
doaj   +1 more source

A Note on LP-Sasakian Manifolds with Almost Quasi-Yamabe Solitons

Journal of Mathematics, 2021
We categorize almost quasi-Yamabe solitons on LP-Sasakian manifolds and their CR-submanifolds whose potential vector field is torse-forming, admitting a generalized symmetric metric connection of type α,β.
Sunil Kumar Yadav, D. L. Suthar, Biniyam Shimelis   +2 more
doaj   +1 more source

Normal holonomy of CR submanifolds

, 2013
We study the normal holonomy group, i.e. the holonomy group of the normal connection, of a CR-submanifold of a complex space form. We show that the normal holonomy group of a coisotropic submanifold acts as the holonomy representation of a Riemannian symmetric space.
Vittone, Francisco, Di Scala, Antonio J.
openaire   +3 more sources

Geometry of Warped Product CR and Semi-Slant Submanifolds in Quasi-Para-Sasakian Manifolds

International Journal of Analysis and Applications, 2022
In the present paper we study the existence or non-existence of warped product semi-slant submanifolds in quasi-para-Sasakian manifolds and prove that there are no proper warped product semi-slant submanifolds in a quasi-para-Sasakian manifold such that ...
Shamsur Rahman, Abdul Haseeb, Nargis Jamal   +2 more
doaj   +1 more source

Cohomology of CR-submanifolds [PDF]

Annales de la Faculté des sciences de Toulouse : Mathématiques, 1981
© Universite Paul Sabatier, 1981, tous droits reserves. L’acces aux archives de la revue « Annales de la faculte des sciences de Toulouse » (http://picard.ups-tlse.fr/∼annales/), implique l’accord avec les conditions generales d’utilisation (http://www.numdam.org/legal.php).
openaire   +1 more source