Results 91 to 100 of about 42,809 (195)

On the sectional curvature of lightlike submanifolds

Journal of Inequalities and Applications, 2016
The main purpose of this paper is to show how to obtain rigidity theorems with the help of curvature invariants in submanifolds of a semi-Riemannian manifold.
Erol Kılıç, Mehmet Gülbahar
doaj   +1 more source

CR STATISTICAL SUBMANIFOLDS

Kyushu Journal of Mathematics, 2019
Summary: The non-existence of CR submanifolds of maximal CR dimension with umbilical shape operator in holomorphic statistical manifolds is proven. Our results are a generalization of the known results in the theory of CR submanifolds in complex space forms.
openaire   +2 more sources

New results toward the classification of biharmonic submanifolds in 𝕊n

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
We prove some new rigidity results for proper biharmonic immer- sions in Sn of the following types: Dupin hypersurfaces; hypersurfaces, both compact and non-compact, with bounded norm of the second fun- damental form; hypersurfaces satisfying intrinsic ...
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Screen Cauchy–Riemann (SCR)-lightlike submanifolds of metallic semi-Riemannian manifolds [PDF]

Arab Journal of Mathematical Sciences
PurposeThe screen Cauchy–Riemann (SCR)-lightlike submanifold is an important class of submanifolds of semi-Riemannian manifolds. It contains various other classes of submanifolds as its sub-cases. It has been studied under various ambient space.
Gauree Shanker, Ankit Yadav, Ramandeep Kaur   +2 more
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Infinity-Minimal Submanifolds [PDF]

, 2012
We identify the Variational Principle governing inifinity-Harmonic maps, that is solutions to the Infinity-Laplacian. The system was first derived in the limit of the p-Laplacian as p->inifinity in [K2] and is recently studied in [K3]. Here we show that it is the "Euler-Lagrange PDE" of vector-valued Calculus of Variations in L-inifinity for the L ...
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Rigidity of Minimal Legendrian Submanifolds in Sasakian Space Forms

Journal of Mathematics
This paper is concerned with the study on rigidity of minimal Legendrian submanifolds in Sasakian space forms under some certain geometric conditions, motivated by the classification of minimal Legendrian submanifolds with constant sectional curvature ...
Dehe Li, Sicheng Li
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Recent Developments in Chen’s Biharmonic Conjecture and Some Related Topics

Mathematics
The study of biharmonic submanifolds in Euclidean spaces was introduced in the middle of the 1980s by the author in his program studying finite-type submanifolds.
Bang-Yen Chen
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Classification of Rank-One Submanifolds. [PDF]

Results Math, 2023
Raffaelli M.
europepmc   +1 more source

HOLONOMY AND SUBMANIFOLD GEOMETRY

, 2002
The article is a survey of applications of holonomy techniques to the study of submanifold geometry of spaces of constant curvature. The central tool is the normal holonomy theorem, proved by \textit{C. Olmos} in [Proc. Am. Math. Soc. 110, No. 3, 813--818 (1990; Zbl 0708.53023)].
DI SCALA, ANTONIO JOSE', CONSOLE S, OLMOS C.   +2 more
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Some Results on Warped Product Submanifolds of a Sasakian Manifold

International Journal of Mathematics and Mathematical Sciences, 2010
We study warped product Pseudo-slant submanifolds of Sasakian manifolds. We prove a theorem for the existence of warped product submanifolds of a Sasakian manifold in terms of the canonical structure 𝐹.
Siraj Uddin, V. A. Khan, Huzoor H. Khan
doaj   +1 more source