Results 31 to 40 of about 32,499 (242)

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

Remarks on the rank properties of formal CR maps

open access: yes, 2006
We prove several new transversality results for formal CR maps between formal real hypersurfaces in complex space.
Bernhard Lamel   +20 more
core   +2 more sources

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 Irreducible Components of Real Exponential Hypersurfaces [PDF]

open access: yesArnold Mathematical Journal, 2017
Some minor changes.
Vorobjov, Nicolai, Riener, Cordian
openaire   +3 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

On the structure vector field of a real hypersurface in complex quadric

open access: yesOpen Mathematics, 2018
From the notion of Jacobi type vector fields for a real hypersurface in complex quadric Qm we prove that if the structure vector field is of Jacobi type it is Killing when the real hypersurface is either Hopf or compact.
Dios Pérez Juan de
doaj   +1 more source

Characterizing Spheres in ℂ2 by Their Levi Curvature: A Result à la Jellett

open access: yesBruno Pini Mathematical Analysis Seminar, 2017
We investigate rigidity problems for a class of real hypersurfaces in ℂ2 with constant Levi curvature. We present a recent result obtained in A Jellett type theorem for the Levi curvature (2017) in collaboration with V.
Giulio Tralli
doaj   +1 more source

On real hypersurfaces in quaternionic projective space with 𝒟⊥-recurrent second fundamental tensor

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
In this paper, we give a complete classification of real hypersurfaces in a quaternionic projective space QPm with 𝒟⊥-recurrent second fundamental tensor under certain condition on the orthogonal distribution 𝒟.
Young Jin Suh, Juan De Dios Pérez
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

Hopf hypersurfaces in complex Grassmannians of rank two

open access: yes, 2016
In this paper, we study real hypersurfaces in complex Grassmannians of rank two. First, the nonexistence of mixed foliate real hypersurfaces is proven. With this result, we show that for Hopf hypersurfaces in complex Grassmannians of rank two, the Reeb ...
Lee, Ruenn-Huah, Loo, Tee-How
core   +1 more source

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