Results 71 to 80 of about 1,215 (136)

A new approach to totally umbilical null submanifolds

Novi Sad Journal of Mathematics, 2017
Summary: In this paper, we study totally umbilical \(r\)-null submanifolds, with \(r\ge1\), of a semi-Riemannian manifold using new objects called generalized Newton transformations. We prove that the results presented here are umbrella of the well-known results for totally umbilical null hypersurfaces, totally umbilical half-null submanifolds and ...
Massamba, Fortuné, Ssekajja, Samuel
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Totally umbilical submanifolds of quaternion-space-forms [PDF]

Journal of the Australian Mathematical Society, 1978
AbstractTotally umbilical submanifolds of dimension greater than four in quaternion-space-forms are completely classified.
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Geometric Inequalities for Skew CR-Warped Product Submanifolds in Locally Conformal Almost Cosymplectic Manifolds

Mathematics
In this paper, we investigate contact skew CR-warped product submanifolds of locally conformal almost cosymplectic manifolds, a framework that simultaneously generalizes warped product pseudo-slant, semi-slant, and contact CR-submanifolds.
Ali H. Alkhaldi, Fatemah Mofarreh, Huda M. Alshanbari, Akram Ali   +3 more
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Analysis of Screen Generic Lightlike Submanifolds in an Indefinite Kaehler Statistical Manifold Endowed with a Quarter-Symmetric Non-Metric Connection

Axioms
This paper introduces the notion of screen generic lightlike submanifolds (SGLSs) of an indefinite Kaehler statistical manifold equipped with a quarter-symmetric non-metric (QSNM) connection, supported by suitable illustrations.
Vandana Gupta, Jasleen Kaur, Oğuzhan Bahadır, Meraj Ali Khan   +3 more
doaj   +1 more source

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.
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Tangentially biharmonic Lagrangian H-umbilical submanifolds in complex space forms

, 2014
The notion of Lagrangian $H$-umbilical submanifolds was introduced by B. Y. Chen in 1997, and these submanifolds have appeared in several important problems in the study of Lagrangian submanifolds from the Riemannian geometric point of view.
Sasahara, Toru
core  

Biharmonic C-parallel Legendrian submanifolds in 7-dimensional Sasakian space forms

, 2016
This paper corrects the classification result for biharmonic C-parallel Legendrian submanifolds presented by D. Fetcu and C. Oniciuc in [Tohoku Math. J.
Sasahara, Toru
core  

Planar pseudo-geodesics and totally umbilic submanifolds

, 2021
Steen Markvorsen, M Raffaelli
openalex   +1 more source

Totally umbilical pseudo-Riemannian submanifolds of the paracomplex projective space [PDF]

, 1994
P. M. Gadea, A. Montesinos Amilibia
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A classification of totally F-umbilical submanifolds of an S-manifold

, 1992
In this note a classification theorem for totally f-umbilical submanifolds of an S-space form is obtained.
Cabrerizo Jaraíz, José Luis, Fernández Fernández, Luis Manuel, Fernández Andrés, Manuel   +2 more
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