-hypersurfaces of the six-dimensional sphere.
Page 1 Next
Bashir, M.A. (1994)
International Journal of Mathematics and Mathematical Sciences
Andrew John Sommese, James B. Carrell (1978)
Mathematica Scandinavica
Sinan Sertöz (1988)
Mathematica Scandinavica
Liane Valère (1983/1984)
Séminaire de théorie spectrale et géométrie
Takashi Kameda, Seiichi Yamaguchi (1985)
Colloquium Mathematicae
J. Gillard (1996)
Colloquium Mathematicae
We prove that a connected complex space form (,g,J) with n ≥ 4 can be characterized by the Ricci-semi-symmetry condition and by the semi-parallel condition , considering special choices of tangent vectors to small geodesic spheres or geodesic tubes (that is, tubes about geodesics), where , and denote the Riemann curvature tensor, the corresponding Ricci tensor of type (0,2) and the second fundamental form of the spheres or tubes and where acts as a derivation.
Erol Kılıç, Mukut Mani Tripathi, Mehmet Gülbahar (2016)
Annales Polonici Mathematici
Some examples of slant submanifolds of almost product Riemannian manifolds are presented. The existence of a useful orthonormal basis in proper slant submanifolds of a Riemannian product manifold is proved. The sectional curvature, the Ricci curvature and the scalar curvature of submanifolds of locally product manifolds of almost constant curvature are obtained. Chen-Ricci inequalities involving the Ricci tensor and the squared mean curvature for submanifolds of locally product manifolds of almost...
Teodor Oprea (2007)
Colloquium Mathematicae
In the theory of submanifolds, the following problem is fundamental: establish simple relationships between the main intrinsic invariants and the main extrinsic invariants of submanifolds. The basic relationships discovered until now are inequalities. To analyze such problems, we follow the idea of C. Udrişte that the method of constrained extremum is a natural way to prove geometric inequalities. We improve Chen's inequality which characterizes a totally real submanifold of a complex space form....
Bang-yen Chen, Huei-Shyong Lue (1981)
Colloquium Mathematicae
S.A. Wolpert (1986)
Inventiones mathematicae
Martin Lübke (1982)
Mathematische Annalen
Christophe Soulé (1995/1996)
Séminaire Bourbaki
J. Dorfmeister, Zhuang-Dan Guan (1992)
Commentarii mathematici Helvetici
Burdujan, Ilie (2008)
Balkan Journal of Geometry and its Applications (BJGA)
Domenico Perrone (1984)
Mathematische Zeitschrift
M. Verbitsky (1996)
Geometric and functional analysis
Bang-Yen Chen (1981)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Manuel de León, Juan C. Marrero (1994)
Extracta Mathematicae
Andrew Balas (1985)
Mathematische Zeitschrift
Georgi Ganchev, Stefan Ivanov (1997)
Monatshefte für Mathematik
Page 1 Next