Results 21 to 30 of about 729 (179)
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 +1 more
doaj +1 more source
Non-embeddable real algebraic hypersurfaces [PDF]
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. We conclude by stating some open problems.
Huang, Xiaojun, Zaitsev, Dmitri
openaire +4 more sources
Real hypersurfaces of indefinite Kaehler manifolds
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
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
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
Real hypersurfaces of type A in quarternionic projective space
In this paper, under certain conditions on the orthogonal distribution 𝒟, we give a characterization of real hypersurfaces of type A in quaternionic projective space QPm.
U-Hang Ki +2 more
doaj +1 more source
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
Real hypersurfaces of indefinite Kaehler manifolds
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 +2 more sources
On the Ricci tensor of real hypersurfaces of quaternionic projective space
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 +1 more source
Hypersurfaces in the general inner product spaces [PDF]
Let A be a symmetric positive definite (n+ 1)×(n+ 1) real matrix for n ≥ 1 and S ∈ R n+1 be a hypersurface. We are supposed to determine the tangent space TpS in an arbitrary point p ∈ S in the case that the whole space R n+1 admits the inner product ...
Ali Parsian
doaj +1 more source

