Ir al contenido

Documat


Immersions in a hyperbolic manifold

  • Autores: M.A. Soliman, N.H. Abdel-All
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 45, Fasc. 2, 1994, págs. 153-164
  • Idioma: inglés
  • Enlaces
  • Resumen
    • This article is devoted to a description of some local differential geometric properties of immersions in a Klein hyperbolic space of dimension five. Using Klein representation, we extend the results in [7], some results of Lipschitz–Killing curvature, mean curvature vector and scalar normal curvature are given. The methods adapted here are based on Cartan’s calculus of moving frames [11], [1].

  • Referencias bibliográficas
    • N.H. Abdel-All, Klein correspondences of a class of line complexes in elliptic spaces, Tensor, N.S. 48 (1989), 108–113.
    • N.H. Abdel-All, Quasi-hyperbolic manifolds, Tensor, N.S. 51 no. 3 (1992), 224–228.
    • B.Y. Chen, Geometry of submanifolds, Marcel Dekker, Inc. New York, 1973.
    • N. Hicks, Notes on differential geometry of curves and surfaces, Prentice-Hall, Inc. Englewood Cliffs, New Jersey, 1976.
    • V. Hlavaty, Differential line geometry, P. Noordhoff, Groningen, 1953.
    • C.S. Houh, Surfaces with maximal Lipschitz–Killing curvature in the direction of mean curvature vector, Proc. Amer. Math. Soc. 35 (1972),...
    • M.A. Soliman and H.G. Ali-Soukhy, Geometrical properties of complexes of harmonic rotation in $H\_3$. The 15 Annual Conference on Maths. 15...
    • M.A. Soliman and S.A. Hessein, Stratification of a line complex into special kinds of normal congruences in $H\_3$, Bull. Can. Math. Soc....
    • M. Spivak, A comprehensive introduction to differential geometry, Vol. IV, V, Publish, Inc., 1975.
    • T.J. Willmore, Total curvature in Riemannian Geometry, Ellis Horwood Limited Publishers, 1982.
    • S. Władysław, Exterior forms and their applications, Warsaw, 1970.

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno