Results 11 to 20 of about 18,512 (114)

Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds of indefinite Kenmotsu manifold [PDF]

Mathematica Bohemica
We study totally contact umbilical screen-slant lightlike submanifolds and totally contact umbilical screen-transversal lightlike submanifolds of an indefinite Kenmotsu manifold.
Payel Karmakar
doaj   +2 more sources

Totally umbilical proper slant submanifolds of para-Kenmotsu manifold

Cubo, 2019
In this paper, we study slant submanifolds of a para-Kenmotsu manifold. We prove that totally umbilical slant submanifold of a para-Kenmotsu manifold is either invariant or anti-invariant or dimension of submanifold is 1 or the mean curvature vector H of
M.S. Siddesha, C.S. Bagewadi, D. Nirmala
doaj   +2 more sources

Pseudo-totally umbilical lightlike submanifolds

Hacettepe Journal of Mathematics and Statistics, 2022
We introduce the geometry of pseudo-totally umbilical lightlike submanifold $M$ of a semi-Riemannian manifold $\bar{M}$. In line with the above, we give a complete classification of pseudo-totally umbilical $1$-lightlike submanifolds, such as the lightlike hypersurfaces and half-lightlike submanifolds.
S. Ssekajja
openaire   +4 more sources

Totally umbilical lightlike submanifolds

Kodai Mathematical Journal, 2003
In the paper under review the authors study the geometry of totally umbilical light-like submanifolds. First they recall some results for light-like submanifolds and their structure equations. Next they prove several new theorems on such submanifolds in semi-Riemannian manifolds of constant curvature.
Duggal, K. L., Jin, D. H.
openaire   +4 more sources

Totally Umbilical Proper Slant and Hemislant Submanifolds of an LP‐Cosymplectic Manifold [PDF]

Mathematical Problems in Engineering, 2011
In the present note, we study slant and hemislant submanifolds of an LP‐cosymplectic manifold which are totally umbilical. We prove that every totally umbilical proper slant submanifold M of an LP‐cosymplectic manifold is either totally geodesic or if M is not totally geodesic in then we derive a formula for slant angle of M.
Uddin, Siraj, Khan, Meraj Ali, Singh, Khushwant   +2 more
openaire   +2 more sources

Classification of totally umbilical submanifolds in symmetric spaces [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1980
AbstractA submanifold of a Riemannian manifold is called a totally umbilical submanifold if the second fundamental form is proportional to the first fundamental form. In this paper, we shall prove that there is no totally umbilical submanifold of codimension less than rank M — 1 in any irreducible symmetric space M.
Bang‐Yen Chen
openaire   +3 more sources

Totally umbilical submanifolds in pseudo-Riemannian space forms [PDF]

Tsukuba Journal of Mathematics, 2020
A totally umbilical submanifold in pseudo-Riemannian manifolds is a fundamental notion, which is characterized by the fact that the second fundamental form to be proportional to the metric.
Yuichiro Sato
semanticscholar   +1 more source

Pointwise Hemislant Submanifolds in a Complex Space Form

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In this paper, pointwise hemislant submanifolds were introduced in a Kahler manifold. The integrability conditions for the distributions which are involved in the definition of a pointwise hemislant submanifold were investigated. In addition, the necessary and sufficient conditions were given for a pointwise hemislant submanifold to be a pointwise ...
Noura Alhouiti, Antonio Masiello
wiley   +1 more source

A Variational Problem and Classification Theorem for Extremal Hypersurfaces in the Space Form

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
The classification of the isoparametric extremal hypersurfaces in the space form is obtained in this paper. We also derived the Euler‐Lagrange equation for extremal hypersurface and obtained Simons’ type integral inequality. When the integral equality holds, we can obtain the characteristics of isoparametric extremal hypersurfaces by using this ...
Yu-Chung Chang, Efthymios G. Tsionas
wiley   +1 more source

Ricci Curvature for Warped Product Submanifolds of Sasakian Space Forms and Its Applications to Differential Equations

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In the present paper, we establish a Chen–Ricci inequality for a C‐totally real warped product submanifold Mn of Sasakian space forms M21m+ε. As Chen–Ricci inequality applications, we found the characterization of the base of the warped product Mn via the first eigenvalue of Laplace–Beltrami operator defined on the warping function and a second‐order ...
Fatemah Mofarreh, Akram Ali, Nadia Alluhaibi, Olga Belova, Hang Xu   +4 more
wiley   +1 more source