Zobrazeno 1 - 10
of 41
pro vyhledávání: '"53B25, 53C50"'
We classify and describe totally geodesic and parallel hypersurfaces for the entire class of Siklos spacetimes. A large class of minimal hypersurfaces is also described.
Comment: 22 pages
Comment: 22 pages
Externí odkaz:
http://arxiv.org/abs/2310.20538
We classify parallel and totally geodesic hypersurfaces of the relevant class of G\"odel-type spacetimes, with particular regard to the homogeneous examples.
Comment: 20 pages
Comment: 20 pages
Externí odkaz:
http://arxiv.org/abs/2310.20529
We consider the Anti-de Sitter space $\mathbb{H}^3_1$ equipped with Berger-like metrics, that deform the standard metric of $\mathbb{H}^3_1$ in the direction of the hyperbolic Hopf vector field. Helix surfaces are the ones forming a constant angle wi
Externí odkaz:
http://arxiv.org/abs/2301.07400
In this paper, first we study on Bour's theorem for four kinds of timelike helicoidal surfaces in 4-dimensional Minkowski space. Secondly, we analyse the geometric properties of these isometric surfaces having same Gauss map. Also, we present the par
Externí odkaz:
http://arxiv.org/abs/2209.14920
In this paper, we study on three kinds of spacelike helicoidal surfaces in Minkowski $4$--space. First, we give an isometry between such helicoidal surfaces and rotational surfaces which is a kind of generalization of Bour theorem in Minkowski $3$--s
Externí odkaz:
http://arxiv.org/abs/2112.03848
In this paper, we examine timelike loxodromes on three kinds of Lorentzian helicoidal surfaces in Minkowski $n$--space. First, we obtain the first order ordinary differential equations which determine timelike loxodromes on the Lorentzian helicoidal
Externí odkaz:
http://arxiv.org/abs/2110.01965
The main two families of real hypersurfaces in complex space forms are Hopf and ruled. However, very little is known about real hypersurfaces in the indefinite complex projective space $\cpn$. In a previous work, Kimura and the second author introduc
Externí odkaz:
http://arxiv.org/abs/2102.10641
Autor:
Nakova, Galia
The present paper is a continuation of our previous work, where a class of half lightlike submanifolds of almost contact B-metric manifolds was introduced. We study curvature properties of totally and screen totally umbilical such submanifolds as wel
Externí odkaz:
http://arxiv.org/abs/2003.08789
Autor:
Nakova, Galia
We introduce a class of half lightlike submanifolds of almost contact B-metric manifolds and prove that such submanifolds are semi-Riemannian with respect to the associated B-metric. Object of investigations are also minimal of the considered submani
Externí odkaz:
http://arxiv.org/abs/2003.06605
Autor:
Kimura, Makoto, Ortega, Miguel
Publikováno v:
Mediterranean Journal of Mathematics (2019)
We wish to attack the problems that H.~Anciaux and K.~Panagiotidou posed in [1], for non-degenerate real hypersurfaces in indefinite complex projective space. We will slightly change these authors' point of view, obtaining cleaner equations for the a
Externí odkaz:
http://arxiv.org/abs/1802.05556