Results 21 to 30 of about 33,035 (232)

On pseudo-Einstein real hypersurfaces [PDF]

Advances in Geometry, 2019
Abstract Let M be a real hypersurface of a complex space form Mn (c) with c ≠ 0 and n ≥ 3. We show that the Ricci tensor S of M satisfies S(X, Y) = ag(X, Y) for all vector fields X and Y on the holomorphic distribution, a being a constant, if and only if M is a pseudo-Einstein real hypersurface.
openaire   +2 more sources

Computing the real isolated points of an algebraic hypersurface [PDF]

Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation, 2020
Let $\mathbb{R}$ be the field of real numbers. We consider the problem of computing the real isolated points of a real algebraic set in $\mathbb{R}^n$ given as the vanishing set of a polynomial system. This problem plays an important role for studying rigidity properties of mechanism in material designs.
Le, Huu Phuoc, Safey El Din, Mohab, de Wolff, Timo   +2 more
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Some New Results on Trans-Sasakian Manifolds

Journal of Mathematics, 2022
In this paper, we classify trans-Sasakian manifolds which are realized as real hypersurfaces in a complex space form. We also investigate trans-Sasakian manifolds whose Reeb vector fields are harmonic-Killing.
Lei Wang, Yan Zhao
doaj   +1 more source

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

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

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

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

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