Results 101 to 110 of about 7,649 (232)

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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doaj   +1 more source

On total curvature of immersions and minimal submanifolds of spheres [PDF]

, 1993
summary:For closed immersed submanifolds of Euclidean spaces, we prove that $\int |\mu |^2\, dV\geq V/R^2$, where $\mu $ is the mean curvature field, $V$ the volume of the given submanifold and $R$ is the radius of the smallest sphere enclosing the ...
Rotondaro, Giovanni
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Homogeneity of Equifocal Submanifolds

Journal of Differential Geometry, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

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
doaj   +1 more source

Deformation theory of Cayley submanifolds

, 2017
Cayley submanifolds are naturally arising volume minimising submanifolds of $Spin(7)$- manifolds. In the special case that the ambient manifold is a four-dimensional Calabi--Yau manifold, a Cayley submanifold might be a complex surface, a special ...

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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
doaj   +1 more source

ON FRAMED METRIC SUBMANIFOLDS [PDF]

application/pdfIn the present paper, we have obtained the necessary and sufficient conditions for framed metric submanifolds of almost Hermite manifold to posses a certain structure. Also the conditions for framed metric submanifolds of Kahler and almost
Mishra, R. S., 29417, Rathore, M. P. S., 29416   +3 more
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On the normality of an almost contact $3$-structure on $QR$-submanifolds [PDF]

, 1971
summary:We study $n$-dimensional $QR$-submanifolds of $QR$-dimension $(p-1)$ immersed in a quaternionic space form $QP^{(n+p)/4}(c)$, $c\geqq 0$, and, in particular, determine such submanifolds with the induced normal almost contact $3 ...
Funabashi, S., Shin, Y. J., Joseph Erbacher, Pak, J. S.   +3 more
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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
doaj   +1 more source

GENERIC QR-SUBMANIFOLDS OF QUATERNION KAEHLER MANIFOLDS

, 2021
In this paper, generic QR-submanifolds of a quaternion Kaehler manifold are introduced as a generalization of QR-submanifolds and real hypersurfaces of a quaternion Kaehler manifold.
Sahin, B., Yilmaz, A., Poyraz, D.
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