ABSTRACT In this paper we prove that there do not exist warped product GCR-lightlike submanifolds... more ABSTRACT In this paper we prove that there do not exist warped product GCR-lightlike submanifolds in the form M = N⊥ × λNT such that N⊥ is an anti-invariant submanifold tangent to V and NT an invariant submanifold of M¯, other than GCR-lightlike product in an indefinite Sasakian manifold. We also obtain characterization theorems for a GCR-lightlike submanifold to be locally a GCR-lightlike warped product.
After brief introduction, we prove that a totally contact umbilical CR- lightlike submanifold is ... more After brief introduction, we prove that a totally contact umbilical CR- lightlike submanifold is totally contact geodesic. We obtain a necessary and sufficient condition for a CR-lightlike submanifold to be an anti-invariant submanifold. Finally, we characterize a contact CR-lightlike submanifold of indefinite Sasakian manifold to be a contact CR-lightlike product
In this paper, we derive some necessary and sufficient conditions on integrability of various dis... more In this paper, we derive some necessary and sufficient conditions on integrability of various distributions of CR-lightlike submanifold of an indefinite Sasakian manifold. We also find the condition for each leaf of radical distribution to be totally geodesic.
We extend the study of Generalized Cauchy-Riemann (GCR)-lightlike submanifolds of indefinite Kaeh... more We extend the study of Generalized Cauchy-Riemann (GCR)-lightlike submanifolds of indefinite Kaehler manifolds and characterize GCR-lightlike product of indefinite Kaehler manifolds. We investigate totally um- bilical and mixed geodesic GCR-lightlike submanifolds of indefinite Kaehler manifolds and prove that if a GCR-lightlike submanifold is mixed foliate then indefinite Kaehler manifold is a complex space form.
ABSTRACT In this paper we prove that there do not exist warped product GCR-lightlike submanifolds... more ABSTRACT In this paper we prove that there do not exist warped product GCR-lightlike submanifolds in the form M = N⊥ × λNT such that N⊥ is an anti-invariant submanifold tangent to V and NT an invariant submanifold of M¯, other than GCR-lightlike product in an indefinite Sasakian manifold. We also obtain characterization theorems for a GCR-lightlike submanifold to be locally a GCR-lightlike warped product.
After brief introduction, we prove that a totally contact umbilical CR- lightlike submanifold is ... more After brief introduction, we prove that a totally contact umbilical CR- lightlike submanifold is totally contact geodesic. We obtain a necessary and sufficient condition for a CR-lightlike submanifold to be an anti-invariant submanifold. Finally, we characterize a contact CR-lightlike submanifold of indefinite Sasakian manifold to be a contact CR-lightlike product
In this paper, we derive some necessary and sufficient conditions on integrability of various dis... more In this paper, we derive some necessary and sufficient conditions on integrability of various distributions of CR-lightlike submanifold of an indefinite Sasakian manifold. We also find the condition for each leaf of radical distribution to be totally geodesic.
We extend the study of Generalized Cauchy-Riemann (GCR)-lightlike submanifolds of indefinite Kaeh... more We extend the study of Generalized Cauchy-Riemann (GCR)-lightlike submanifolds of indefinite Kaehler manifolds and characterize GCR-lightlike product of indefinite Kaehler manifolds. We investigate totally um- bilical and mixed geodesic GCR-lightlike submanifolds of indefinite Kaehler manifolds and prove that if a GCR-lightlike submanifold is mixed foliate then indefinite Kaehler manifold is a complex space form.
Uploads
Papers by Manish Gogna