Results 31 to 40 of about 438,929 (192)
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
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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
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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
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Characterization of CR-Lightlike-Warped Product of Indefinite Kaehler Manifolds [PDF]
, 2012 In this paper, we prove that there does not exist a warped product CR-lightlike submanifold in the form other than CR-lightlike product in an indefinite Kaehler manifold. We also obtain some characterizations for a CR-lightlike submanifold to be locally
Rachna Rani, Rakesh Kumar, R. K. Nagaich
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On the topology of CR-warped product submanifolds [PDF]
, 2018 We obtain a necessary condition for homology group to be zero on CR-warped product submanifold in Euclidean spaces in terms of second fundamental form of the submanifold and warping function.
Fulya Şahin, Sahin, Fulya
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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.
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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
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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
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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
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