Results 31 to 40 of about 33,035 (232)
Real hypersurfaces of type A in quarternionic projective space
International Journal of Mathematics and Mathematical Sciences, 1997 In this paper, under certain conditions on the orthogonal distribution đ, we give a characterization of real hypersurfaces of type A in quaternionic projective space QPm.
U-Hang Ki +2 more
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Hopf hypersurfaces in complex Grassmannians of rank two
, 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
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Real hypersurfaces of indefinite Kaehler manifolds
International Journal of Mathematics and Mathematical Sciences, 1992 This article deals with generalizations of certain aspects of the well- established theory about Sasakian and KĂ€hlerian 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
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On the Ricci tensor of real hypersurfaces of quaternionic projective space
International 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
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Hypersurfaces in the general inner product spaces [PDF]
Journal of Hyperstructures, 2017 Let A be a symmetric positive definite (n+ 1)Ă(n+ 1) real matrix for n â„ 1 and S â R n+1 be a hypersurface. We are supposed to determine the tangent space TpS in an arbitrary point p â S in the case that the whole space R n+1 admits the inner product ...
Ali Parsian
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Remarks on the rank properties of formal CR maps
, 2006 We prove several new transversality results for formal CR maps between formal real hypersurfaces in complex space.
Bernhard Lamel +20 more
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On the structure vector field of a real hypersurface in complex quadric
Open 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 PĂ©rez Juan de
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On the embeddability of real hypersurfaces into hyperquadrics [PDF]
Advances in Mathematics, 2018 In this paper, we provide {\em effective} results on the non-embeddability of real-analytic hypersurfaces into a hyperquadric. We show that, for any $N >n \geq 1$, the defining functions $Ï(z,\bar z,u)$ of all real-analytic hypersurfaces $M=\{v=Ï(z,\bar z,u)\}\subset\mathbb C^{n+1}$ containing Levi-nondegenerate points and locally transversally ...
Kossovskiy, Ilya, Xiao, Ming
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International 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 đâ„-recurrent second fundamental tensor under certain condition on the orthogonal distribution đ.
Young Jin Suh, Juan De Dios PĂ©rez
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A Characterization of Ruled Real Hypersurfaces in Non-Flat Complex Space Forms
Mathematics, 2020 The Levi-Civita connection and the k-th generalized Tanaka-Webster connection are defined on a real hypersurface M in a non-flat complex space form.
George Kaimakamis +2 more
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