Results 21 to 30 of about 5,115 (226)
Inflexible CR submanifolds [PDF]
to appear in Math ...
Brinkschulte, Judith, Denson Hill, C.
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PSEUDO-SLANT SUBMANIFOLD IN KENMOTSU SPACE FORMS [PDF]
In this paper, we study geometry of the pseudo-slant submanifold of a Kenmotsu space form. Necessary and suffcient conditions are given for a submanifold to be a pseudo-slant submanifold in Kenmotsu manifolds.
Atceken, Mehmet +2 more
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A Comprehensive Survey on Parallel Submanifolds in Riemannian and Pseudo-Riemannian Manifolds
A submanifold of a Riemannian manifold is called a parallel submanifold if its second fundamental form is parallel with respect to the van der Waerden−Bortolotti connection.
Bang-Yen Chen
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Characterization of GCR-lightlike warped product of indefinite Sasakian manifolds
In this paper we prove that there do not exist warped product GCR-lightlike submanifolds in the form M = N⊥ × λNT such that N⊥ is an anti-invariant submanifold tangent to V and NT an invariant submanifold of M‾, other than GCR-lightlike product in an ...
Rakesh Kumar +3 more
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The Geometry of Invariant Submanifolds of a (κ,μ)-Paracontact Metric Manifold
In this article, we consider an invariant submanifold of a -paracontact metric manifold. We research the conditions and for an invariant submanifold of a paracontact metric manifold.
Pakize Uygun +3 more
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Pseudo-Isotropic Centro-Affine Lorentzian Surfaces
In this paper, we study centro-affine Lorentzian surfaces M2 in ℝ3 which have pseudo-isotropic or lightlike pseudo-isotropic difference tensor. We first show that M2 is pseudo-isotropic if and only if the Tchebychev form T=0.
Olivier Birembaux
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Conformal submanifolds, distinguished submanifolds, and integrability
For conformal geometries of Riemannian signature, we provide a comprehensive and explicit treatment of the core local theory for embedded submanifolds of arbitrary dimension. This is based in the conformal tractor calculus and includes a conformally invariant Gauss formula leading to conformal versions of the Gauss, Codazzi, and Ricci equations.
Curry, Sean. N +2 more
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Warped product semi-slant submanifolds in locally conformal Kaehler manifolds II
In 1994 N.~Papaghiuc introduced the notion of semi-slant submanifold in a Hermitian manifold which is a generalization of $CR$- and slant-submanifolds, \cite{MR0353212}, \cite{MR760392}.
Koji Matsumoto
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We provide an introduction to the theory of calibrated submanifolds through the key examples related with special holonomy. We focus on calibrated geometry in Calabi-Yau, G$_2$ and Spin(7) manifolds, and describe fundamental results and techniques in the field.
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On the notion of noncommutative submanifold
We review the notion of submanifold algebra, as introduced by T. Masson, and discuss some properties and examples. A submanifold algebra of an associative algebra A is a quotient algebra B such that all derivations of B can be lifted to A.
D'Andrea, Francesco, D'andrea F.
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