Results 21 to 30 of about 121 (118)
CR submanifolds of a Kaehler manifold. II [PDF]
Transactions of the American Mathematical Society, 1978 The differential geometry of CR submanifolds of a Kaehler manifold is studied. Theorems on parallel normal sections and on a special type of flatness of the normal connection on a CR submanifold are obtained.
openaire +2 more sources
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 +2 more
openaire +2 more sources
Generic submanifolds of a locally conformal Kaehler manifold-II
International Journal of Mathematics and Mathematical Sciences, 1993 The purpose of this paper is to study generic submanifolds with parallel structures, generic product submanifolds and totally umbilical submanifolds of a locally conformal Kaehler manifold.
M. Hasan Shahid, Kouei Sekigawa
doaj +1 more source
Contact co-isotropic CR submanifolds of a pseudo-Sasakian manifold
International Journal of Mathematics and Mathematical Sciences, 1984 It is proved that any co-isotropic submanifold M of a pseudo-Sasakian manifold M˜(U,ξ,η˜,g˜) is a CR submanifold (such submanfolds are called CICR submanifolds) with involutive vertical distribution ν1.
Vladislav V. Goldberg, Radu Rosca
doaj +1 more source
Submersions of generic submanifolds of a Kaehler manifold
Arab Journal of Mathematical Sciences, 2014 Kobayashi has shown that for the submersion π:M→B of a CR-submanifold of a Kaehler manifold M¯ onto an almost Hermitian manifold B,B is necessarily a Kaehler manifold.
Tanveer Fatima, Shahid Ali
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
On totally umbilical CR-submanifolds of a Kaehler manifold
International Journal of Mathematics and Mathematical Sciences, 1993 Let M be a compact 3-dimensional totally umbilical CR-submanifold of a Kaehler manifold of positive holomorphic sectional curvature. We prove that if the length of the mean curvature vector of M does not vanish, then M is either diffeomorphic to S3 or ...
M. A. Bashir
doaj +1 more source
Geometry of hypersurfaces of a quarter symmetric non metric connection in a quasi-Sasakian manifold
Karpatsʹkì Matematičnì Publìkacìï, 2015 The purpose of the paper is to study the notion of CR-submanifold and the existence of some structures on a hypersurface of a quarter symmetric non metric connection in a quasi-Sasakian manifold.
Sh. Rahman
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