Results 21 to 30 of about 5,781 (61)

Autoparallel distributions and splitting theorems [PDF]

open access: yes, 2003
We study some links between autoparallel distributions and the factorization of a riemannian manifold.
Scala Antonio J. DI   +1 more
core   +1 more source

On Total Geodesic Submanifolds of Para-Sasakian Manifolds On the W5 Curvature Tensor

open access: yes, 2022
In this study, invariant submanifolds of a para-Sasakian manifold are studied. For a para-Sasakian manifold, pseudoparallel, 2-pseudoparallel, Ricci generalized pseudoparallel and 2-Ricci generalized pseudoparalel cases are considered and new results are
Mert, Tuğba, Atçeken, Mehmet
core  

Symplectic Reduction Along a Submanifold [PDF]

open access: yes, 2022
We introduce the process of symplectic reduction along a submanifold as a uniform approach to taking quotients in symplectic geometry. This construction holds in the categories of smooth manifolds, complex analytic spaces, and complex algebraic varieties,
Crooks, Peter, Mayrand, Maxence
core   +1 more source

Vector fields near a generic submanifold [PDF]

open access: yes, 1991
It is given a classification of generic vector fields near a generic submanifold. The normal forms are linear vector fields near the local model of the submanifold. Similar results are obtained for vector fields near a hypersurface with boundary and near
Ishikawa, G., Izumiya, S., Watanabe, K.
core   +1 more source

Some Estimates for the Spin-Submanifold Twisted Dirac Operators

open access: yes, 2020
In this paper, we generalize lower bound estimates for the eigenvalue estimates of the submanifold twisted Dirac operator on a compact Riemannian Spin−submanifold proved by N. Ginoux and B. Morel in 2002.
Mehmet Ergen
core   +1 more source

Invariant Submanifold Flows

open access: yes, 2008
. Given a Lie group acting on a manifold, our aim is to analyze the evolution of differential invariants under invariant submanifold flows. The constructions are based on the equivariant method of moving frames and the induced invariant variational ...
Peter J. Olver, Peter J Olver
core   +1 more source

The contact number of a pseudo-Euclidean submanifold [PDF]

open access: yes, 2008
In this paper we define the contact number of a pseudo-Riemannian submanifold into the pseudo-Euclidean space, and prove that this contact number is closely related to the notion of pseudo-isotropic submanifold. We give a classification of hypersurfaces
Gómez Casanueva, Juan Salvador   +2 more
core   +3 more sources

Pseudoparallel anti-invariant submanifolds of kenmotsu manifolds

open access: yes, 2010
We consider an anti-invariant, minimal, pseudoparallel and Ricci-generalized pseudoparallel submanifold M of a Kenmotsu space form (M) over tilde (c), for which xi is tangent to ...
Özgür, Cihan, Sular, Sibel
core  

A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds [PDF]

open access: yes, 2012
We study slant submanifolds of a cosymplectic manifold. It is shown that a totally umbilical slant submanifold of a cosymplectic manifold is either an anti-invariant submanifold or a 1−dimensional submanifold.
Siraj Uddin, Cenap Ozel, Viqar Azam Khan
core   +1 more source

On invariant submanifolds of normal paracontact metric manifolds on generalized B-curvature tensor

open access: yes
In this article, pseudoparallel submanifolds for normal paracontact metric manifolds are studied. B -curvature tensor in a normal paracontact metric manifold has been considered.
Atcekenb, Mehmet, Mert, Tugba
core   +1 more source

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