hypersurfaces of type (A) — 2 articles found.

Nonnegatively Curved Geodesic Spheres in a Complex Hyperbolic Space

C. R. Math. Rep. Acad. Sci. Canada Vol. 35 (3) 2013, pp. 114–120
Vol.35 (3) 2013
Sadahiro Maeda Details
(Received: 2013-05-01 , Revised: 2013-09-15 )
(Received: 2013-05-01 , Revised: 2013-09-15 )

Sadahiro Maeda, Department of Mathematics, Saga University, Saga, 840-8502, Japan; e-mail: smaeda@ms.saga- u.ac.jp

Abstract/Résumé:

We characterize geodesic spheres with sufficiently small radii in a complex hyperbolic space by using their geometric properties. These geodesic spheres are the only examples of hypersurfaces of type (A) having nonnegative sectional curvature in this ambient space.

Nous caractérisons les sphères géodésiques de rayon suffisamment petit dans un espace hyperbolique complexe en utilisant leurs propriétés géométriques. Ces sphères géodésiques sont les seuls exemples d’hypersurfaces de type (A) qui ont courbure non-negative dans cet espace ambiant.

Keywords: Geodesic spheres, circles, complex hyperbolic spaces, contact form, exterior differentiation, geodesics, hypersurfaces of type (A), sectional curvatures

AMS Subject Classification: Local submanifolds 53B25

PDF(click to download): Nonnegatively Curved Geodesic Spheres in a Complex Hyperbolic Space

A Congruence Theorem of Geodesies on Some Naturally Reductive Riemannian Homogeneous Manifolds

C. R. Math. Rep. Acad. Sci. Canada Vol. 26 (1) 2004, pp. 11–17
Vol.26 (1) 2004
T. Adachi / S. Ma Details
(Received: 2003-06-03 )
(Received: 2003-06-03 )

T. Adachi / S. Ma

Abstract/Résumé:

No abstract available but the full text pdf may be downloaded at the title link below.

Keywords: Naturally reductive Riemannian homogeneous manifolds, geodesies, hypersurfaces of type (A), nonflat complex space forms, normal curvature, real hypersurfaces, structure torsion

AMS Subject Classification: Local submanifolds 53B25

PDF(click to download): A Congruence Theorem of Geodesies on Some Naturally Reductive Riemannian Homogeneous Manifolds