Results 11 to 20 of about 1,685 (212)

Ruled Real Hypersurfaces in the Complex Quadric [PDF]

open access: yesThe Journal of Geometric Analysis, 2021
MCT-FEDER project MTM-2016-78807-C2-1 ...
Kimura, Makoto   +3 more
openaire   +3 more sources

A characterization of totally η-umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form [PDF]

open access: yesCzechoslovak Mathematical Journal, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahn Seong-Soo   +6 more
openaire   +3 more sources

Topology of random real hypersurfaces

open access: yes, 2014
18 pages, notes of the course I gave during the CIMPA summer school at Villa de Leyva, Colombia, in July ...
Jean-yves Welschinger   +1 more
openaire   +5 more sources

The Nonimbeddability of Real Hypersurfaces in Spheres [PDF]

open access: yesProceedings of the American Mathematical Society, 1988
It is shown that there exist real analytic real hypersurfaces in C
James J. Faran
openaire   +4 more sources

Real Hypersurfaces with Many Simple Singularities

open access: yesRevista Matemática Complutense, 2005
This paper extends the results of \textit{E. Shustin} and \textit{E. Westenberger} [J. Lond. Math. Soc., II. Ser. 70, No. 3, 609--624 (2004; Zbl 1075.14034)] on the existence of algebraic hypersurfaces with prescribed simple singularities to the real case.
Westenberger, Eric
openaire   +4 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   +3 more sources

On certain real hypersurfaces of quaternionic projective space [PDF]

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   +2 more sources

The Shape Operator of Real Hypersurfaces in S6(1)

open access: yesMathematics
The aim of the paper is to present two results concerning real hypersurfaces in the six-dimensional sphere S6(1). More precisely, we prove that real hypersurfaces with the Lie-parallel shape operator A must be totally geodesic hyperspheres. Additionally,
Djordje Kocić, Miroslava Antić
doaj   +2 more sources

Real Hypersurfaces in Kähler Manifolds

open access: yes, 2014
We consider real hypersurfaces of compact Kahler manifolds and show that real hypersurfaces of Kahler manifolds induced by Morse functions have contact structures. As examples we consider preimages of regular values of Morse functions on complex projective spaces, and cosymplectic real hypersurfaces of the products of Kahler manifolds and torus.
조용승
openaire   +2 more sources

Abundance of Real Lines on Real Projective Hypersurfaces [PDF]

open access: yesInternational Mathematics Research Notices, 2012
We show that a generic real projective n-dimensional hypersurface of degree 2n-1 contains "many" real lines, namely, not less than (2n-1)!!, which is approximately the square root of the number of complex lines. This estimate is based on the interpretation of a suitable signed count of the lines as the Euler number of an appropriate bundle.
Finashin, Sergey, Kharlamov, Viatcheslav
openaire   +3 more sources

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