Results 1 to 10 of about 4,560,118 (257)

On the Ricci tensor of real hypersurfaces of quaternionic projective space [PDF]

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
doaj   +2 more sources

Non-embeddable Real Algebraic Hypersurfaces [PDF]

Mathematische 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 ...
Huang, Xiaojun, Zaitsev, Dmitri
core   +7 more sources

Non-Existence of Real Hypersurfaces with Parallel Structure Jacobi Operator in S⁶(1)

Mathematics, 2022
It is well known that the sphere S6(1) admits an almost complex structure J which is nearly Kähler. If M is a hypersurface of an almost Hermitian manifold with a unit normal vector field N, the tangent vector field ξ=−JN is said to be characteristic or ...
Miroslava Antić, Djordje Kocić
doaj   +2 more sources

Mappings of Real Algebraic Hypersurfaces [PDF]

Journal of the American Mathematical Society, 1995
A holomorphic function h(Z) defined in a neighborhood of a point Z0 E CN is algebraic if there are polynomials qj(Z), j = 0, ..., k, not all identically zero, such that qk(Z)h(Z)k + ... + qo(Z) _ 0. A holomorphic mapping is algebraic if all its components are algebraic.
M. S. Baouendi, Linda Preiss Rothschild
openalex   +3 more sources

Generalized Sasakian Space Forms Which Are Realized as Real Hypersurfaces in Complex Space Forms

Mathematics, 2020
We prove a classification theorem of the generalized Sasakian space forms which are realized as real hypersurfaces in complex space forms.
Alfonso Carriazo, Jong Taek Cho, Verónica Martín-Molina   +2 more
doaj   +2 more sources

Topology of random real hypersurfaces [PDF]

Revista Colombiana de Matemáticas, 2014
These are notes of the mini-course I gave during the CIMPA summer school at Villa de Leyva, Colombia, in July $2014$. The subject was my joint work with Damien Gayet on the topology of random real hypersurfaces, restricting myself to the case of ...
Welschinger, Jean-Yves
core   +10 more sources

Real hypersurfaces of indefinite Kaehler manifolds

International 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   +3 more sources

On the Chern–Moser–Weyl tensor of real hypersurfaces [PDF]

Journal of the Mathematical Society of Japan, 2019
We derive an explicit formula for the well-known Chern-Moser-Weyl tensor for nondegenerate real hypersurfaces in complex space in terms of their defining functions.
M. Reiter, D. Son
semanticscholar   +7 more sources

Finite type conditions for real hypersurfaces [PDF]

Journal of Differential Geometry, 1979
John P. D’Angelo
openalex   +4 more sources

The ∗-Ricci Operator on Hopf Real Hypersurfaces in the Complex Quadric

Mathematics, 2022
We study the ∗-Ricci operator on Hopf real hypersurfaces in the complex quadric. We prove that for Hopf real hypersurfaces in the complex quadric, the ∗-Ricci tensor is symmetric if and only if the unit normal vector field is singular.
Rongsheng Ma, Donghe Pei
doaj   +1 more source