Results 11 to 20 of about 7,654 (232)

Warped Product Submanifolds of LP-Sasakian Manifolds [PDF]

open access: yesDiscrete Dynamics in Nature and Society, 2012
We study of warped product submanifolds, especially warped product hemi-slant submanifolds of LP-Sasakian manifolds. We obtain the results on the nonexistance or existence of warped product hemi-slant submanifolds and give some examples of LP-Sasakian ...
S. K. Hui   +3 more
doaj   +2 more sources

On normally flat Einstein submanifolds [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
The purpose of this paper is to study the second fundamental form of some submanifolds Mn in Euclidean spaces 𝔼m which have flat normal connection. As such, Theorem gives precise expressions for the (essentially 2) Weingarten maps of all 4-dimensional ...
Leopold Verstraelen   +1 more
doaj   +2 more sources

Minimal submanifolds

open access: yesBulletin of the London Mathematical Society, 2006
In what follows we give a quick tour through the field of minimal submanifolds, starting at the definition and the classical results and ending up with current areas of research.
Colding, Tobias H.   +1 more
openaire   +2 more sources

Minimal homogeneous submanifolds in euclidean spaces [PDF]

open access: yes, 2002
We prove that minimal (extrinsically) homogeneous submanifolds of the Euclidean space are totally geodesic. As an application, we obtain that a complex (intrisecally) homogeneous submanifold of a complex Euclidean space must be totally ...
Di Scala, Antonio Jose'
core   +1 more source

On submanifolds whose shape operator is unipotent [PDF]

open access: yes, 2006
The object of this article is to characterize submanifolds of the Euclidean space whose shape operator is ...
Di Scala, Antonio Jose'
core   +1 more source

Pseudoparallel invariant submanifolds of Kenmotsu manifolds

open access: yesJournal of Amasya University the Institute of Sciences and Technology, 2023
In this paper, we consider pseudoparallel invariant submanifolds, a particular class of invariant submanifolds of Kenmotsu manifolds, on $W_8$ curvature tensor and investigate some of their basic characterizations, such as $W_8$ pseudoparallel, $W_8$-2 ...
Nurnisa Karaman, Mehmet Atçeken
doaj   +1 more source

Submanifolds with curvature normals of constant length and the Gauss map [PDF]

open access: yes, 2004
We show that a submanifold with curvature normal of constant length has constant principal curvatures under suitable global hypothesis.
A. J. Di Scala   +3 more
core   +1 more source

Inequalities for the Generalized Normalized δ-Casorati Curvatures of Submanifolds in Golden Riemannian Manifolds

open access: yesAxioms, 2023
In the present article, we consider submanifolds in golden Riemannian manifolds with constant golden sectional curvature. On such submanifolds, we prove geometric inequalities for the Casorati curvatures.
Majid Ali Choudhary, Ion Mihai
doaj   +1 more source

On the geometry of warped product submanifolds of a quasi-hemi Slant submanifold with trans para Sasakian [PDF]

open access: yesJournal of Hyperstructures, 2023
The existence or non-existence of warped product quasi-hemi slant submanifolds in trans para-sasakian manifolds is defined. Then we obtain that there are no proper warped product quasi-hemi slant submanifolds in trans para-sasakian manifolds such that ...
Sabi Ahmad, Niranjan Kumar Mishra
doaj   +1 more source

A Berger type normal holonomy theorem for complex submanifolds [PDF]

open access: yes, 2010
We prove a kind of Berger-Simons' Theorem for the normal holonomy group of a complex submanifold of the projective ...
Antonio J. Di Scala   +5 more
core   +1 more source

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