Results 11 to 20 of about 7,654 (232)
Warped Product Submanifolds of LP-Sasakian Manifolds [PDF]
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
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On normally flat Einstein submanifolds [PDF]
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
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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
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Minimal homogeneous submanifolds in euclidean spaces [PDF]
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'
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On submanifolds whose shape operator is unipotent [PDF]
The object of this article is to characterize submanifolds of the Euclidean space whose shape operator is ...
Di Scala, Antonio Jose'
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Pseudoparallel invariant submanifolds of Kenmotsu manifolds
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
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Submanifolds with curvature normals of constant length and the Gauss map [PDF]
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
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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
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On the geometry of warped product submanifolds of a quasi-hemi Slant submanifold with trans para Sasakian [PDF]
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
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A Berger type normal holonomy theorem for complex submanifolds [PDF]
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
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