Results 21 to 30 of about 32,499 (242)

Homogeneous real hypersurfaces [PDF]

Mathematical Research Letters, 1995
Let \(M\) be an analytic real hypersurface through the origin in \(\mathbb{C}^n\). The hypersurface \(M\) is called weighted homogeneous if it is locally equivalent, via a biholomorphic map which preserves the origin, to a hypersurface given by an equation of the form \(P(z, \overline z) = 0\), where \(P\) is a polynomial which is homogeneous with ...
openaire   +1 more source

Real Hypersurfaces of Nonflat Complex Projective Planes Whose Jacobi Structure Operator Satisfies a Generalized Commutative Condition

International Journal of Mathematics and Mathematical Sciences, 2016
Real hypersurfaces satisfying the condition ϕl=lϕ(l=R(·,ξ)ξ) have been studied by many authors under at least one more condition, since the class of these hypersurfaces is quite tough to be classified.
Theocharis Theofanidis
doaj   +1 more source

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

Open 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, Pérez Juan de Dios   +1 more
doaj   +1 more source

Filling Real Hypersurfaces by Pseudoholomorphic Discs [PDF]

Journal of Geometric Analysis, 2008
We study pseudoholomorphic discs with boundaries attached to a real hypersurface in an almost complex manifold. We give sufficient conditions for filling a one sided neighborhood of the hypersurface by the discs.
Sukhov, Alexandre, Tumanov, Alexander
openaire   +2 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   +1 more source

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   +1 more source

Livsic-type Determinantal Representations and Hyperbolicity [PDF]

, 2015
Hyperbolic homogeneous polynomials with real coefficients, i.e., hyperbolic real projective hypersurfaces, and their determinantal representations, play a key role in the emerging field of convex algebraic geometry.
Shamovich, Eli, Vinnikov, Victor
core   +1 more source

On certain real hypersurfaces of quaternionic projective space

International 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

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

International 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

Weak Nearly Sasakian and Weak Nearly Cosymplectic Manifolds

Mathematics, 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