On real hypersurfaces in quaternionic projective space with -recurrent second fundamental tensor.
Suh, Young Jin, Pérez, Juan de Dios (1999)
International Journal of Mathematics and Mathematical Sciences
Makoto Kimura, Sadahiro Maeda (1989)
Mathematische Zeitschrift
Kim, Hyang Sook, Pyo, Yong-Soo (1998)
Balkan Journal of Geometry and its Applications (BJGA)
Luis A. Florit, Wing San Hui, F. Zheng (2005)
Journal of the European Mathematical Society
We show that any real Kähler Euclidean submanifold with either non-negative Ricci curvature or non-negative holomorphic sectional curvature has index of relative nullity greater than or equal to . Moreover, if equality holds everywhere, then the submanifold must be a product of Euclidean hypersurfaces almost everywhere, and the splitting is global provided that is complete. In particular, we conclude that the only real Kähler submanifolds in that have either positive Ricci curvature or...
Alois Švec (1972)
Commentationes Mathematicae Universitatis Carolinae
S. S. Pujar (1984)
Colloquium Mathematicae
Ranjan Kumar Garai (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Oldrich Kowalski (1972)
Mathematische Zeitschrift
Ranjan Kumar Garai (1971)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
I. Lukačević (1975)
Publications de l'Institut Mathématique
Svetislav M. Minčić (2013)
Publications de l'Institut Mathématique
Z. Olszak (1987)
Colloquium Mathematicae
Ryszard Deszcz, Małgorzata Głogowska, Jan Jełowicki, Miroslava Petrović-Torgašev, Georges Zafindratafa (2013)
Publications de l'Institut Mathématique
E. Głodek (1972)
Colloquium Mathematicae
Filip Defever, Ryszard Deszcz (1993)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Al-Aqeel, Adnan, Bejancu, Aurel (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
Ianus, S., Rizza, G.B. (2002)
International Journal of Mathematics and Mathematical Sciences
Füsun Özen Zengin, S. Aynur Uysal, Sezgin Altay Demirbag (2011)
Annales Polonici Mathematici
We prove that if the sectional curvature of an n-dimensional pseudo-symmetric manifold with semi-symmetric metric connection is independent of the orientation chosen then the generator of such a manifold is gradient and also such a manifold is subprojective in the sense of Kagan.
Katsumi Nomizu, Larry Graves (1978)
Mathematische Annalen
Katsumi Nomizu, Marcos Dajczer (1980)
Mathematische Annalen