Results 21 to 30 of about 729 (179)

Commuting Conditions of the k-th Cho operator with the structure Jacobi operator of real hypersurfaces in complex space forms

open access: yesOpen Mathematics, 2015
In this paper three dimensional real hypersurfaces in non-flat complex space forms whose k-th Cho operator with respect to the structure vector field ξ commutes with the structure Jacobi operator are classified.
Panagiotidou Konstantina   +1 more
doaj   +1 more source

Non-embeddable real algebraic hypersurfaces [PDF]

open access: yesMathematische Zeitschrift, 2013
We study various classes of real hypersurfaces that are not embeddable into more special hypersurfaces in higher dimension, such as spheres, real algebraic compact strongly pseudoconvex hypersurfaces or compact pseudoconvex hypersurfaces of finite type. We conclude by stating some open problems.
Huang, Xiaojun, Zaitsev, Dmitri
openaire   +4 more sources

Real hypersurfaces of indefinite Kaehler manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1993
We show the existence of ( ϵ )-almost contact metric structures and give examples of ( ϵ )-Sasakian manifolds. Then we get a classification theorem for real hypersurfaces of indefinite complex space-forms with parallel structure vector field.
A. Bejancu, K. L. Duggal
doaj   +1 more source

On certain real hypersurfaces of quaternionic projective space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1991
We classify certain real hypersurfaces ot a quaternionic projective space satisfying the condition σ(R(X,Y)SZ)=0.
Juan De Dios Perez, Florentino G. Santos
doaj   +1 more source

Weak Nearly Sasakian and Weak Nearly Cosymplectic Manifolds

open access: yesMathematics, 2023
Weak contact metric structures on a smooth manifold, introduced by V. Rovenski and R. Wolak in 2022, have provided new insight into the theory of classical structures.
Vladimir Rovenski
doaj   +1 more source

Real hypersurfaces of type A in quarternionic projective space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
In this paper, under certain conditions on the orthogonal distribution 𝒟, we give a characterization of real hypersurfaces of type A in quaternionic projective space QPm.
U-Hang Ki   +2 more
doaj   +1 more source

Convergence of formal invertible CR mappings between minimal holomorphically nondegenerate real analytic hypersurfaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
Recent advances in CR (Cauchy-Riemann) geometry have raised interesting fine questions about the regularity of CR mappings between real analytic hypersurfaces.
Joël Merker
doaj   +1 more source

Real hypersurfaces of indefinite Kaehler manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
This article deals with generalizations of certain aspects of the well- established theory about Sasakian and Kählerian geometry to the pseudo- Riemannian situation. Sasakian manifolds with pseudo-Riemannian metrics were already studied by \textit{T. Takahashi} [Tohoku Math. J.
A. Bejancu, K. L. Duggal
openaire   +2 more sources

On the Ricci tensor of real hypersurfaces of quaternionic projective space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
We study some conditions on the Ricci tensor of real hypersurfaces of quaternionic projective space obtaining among other results an improvement of the main theorem in [9].
Juan De Dios Perez
doaj   +1 more source

Hypersurfaces in the general inner product spaces [PDF]

open access: yesJournal of Hyperstructures, 2017
Let A be a symmetric positive definite (n+ 1)×(n+ 1) real matrix for n ≥ 1 and S ∈ R n+1 be a hypersurface. We are supposed to determine the tangent space TpS in an arbitrary point p ∈ S in the case that the whole space R n+1 admits the inner product ...
Ali Parsian
doaj   +1 more source

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