On hypersurfaces in space forms satisfying particular curvature conditions of Tachibana type
Displaying 41 – 60 of 118
On irrotational D-conformal curvature tensor.
Begewadi, C.S., Kumar, E.Girish, Venkatesha (2005)
Novi Sad Journal of Mathematics
On K-contact Riemannian manifolds with vanishing E-contact Bochner curvature tensor
Hiroshi Endo (1991)
Colloquium Mathematicae
For Sasakian manifolds, Matsumoto and Chūman [6] defined the contact Bochner curvature tensor (see also Yano [9]). Hasegawa and Nakane [4] and Ikawa and Kon [5] have studied Sasakian manifolds with vanishing contact Bochner curvature tensor. Such manifolds were studied in the theory of submanifolds by Yano ([9] and [10]). In this paper we define an extended contact Bochner curvature tensor in K-contact Riemannian manifolds and call it the E-contact Bochner curvature tensor. Then we show that a K-contact...
On Legendre curves in -Sasakian manifolds.
Özgür, Cihan, Tripathi, Mukut Mani (2008)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
On lens spaces which are isospectral but not isometric
Akira Ikeda (1980)
Annales scientifiques de l'École Normale Supérieure
On LP-Sasakian manifolds.
Shaikh, A.A., Biswas, Sudipta (2004)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
On mean value theorems for small geodesic spheres in Riemannian manifolds
Masanori Kôzaki (1992)
Czechoslovak Mathematical Journal
On metrics of positive Ricci curvature conformal to
Juan Miguel Ruiz (2009)
Archivum Mathematicum
Let be a closed Riemannian manifold and the Euclidean metric. We show that for , is not conformal to a positive Einstein manifold. Moreover, is not conformal to a Riemannian manifold of positive Ricci curvature, through a radial, integrable, smooth function, , for . These results are motivated by some recent questions on Yamabe constants.
On minimal generic submanifolds immersed in
Masahiro Kon (2001)
Colloquium Mathematicae
We give a pinching theorem for a compact minimal generic submanifold with flat normal connection immersed in an odd-dimensional sphere with standard Sasakian structure.
On -quasi Einstein manifolds satisfying certain conditions.
Özgür, Cihan, Sular, Sibel (2008)
Balkan Journal of Geometry and its Applications (BJGA)
On normal CR-submanifolds of S-manifolds
José Cabrerizo, Luis Fernández, Manuel Fernández (1993)
Colloquium Mathematicae
Many authors have studied the geometry of submanifolds of Kaehlerian and Sasakian manifolds. On the other hand, David E. Blair has initiated the study of S-manifolds, which reduce, in particular cases, to Sasakian manifolds ([1, 2]). I. Mihai ([8]) and L. Ornea ([9]) have investigated CR-submanifolds of S-manifolds. The purpose of the present paper is to study a special kind of such submanifolds, namely the normal CR-submanifolds. In Sections 1 and 2, we review basic formulas and definitions for...
On normal forms of Laplacian and its iterations in harmonic spaces
Masanori Kôzaki, Hidekichi Sumi (1989)
Commentationes Mathematicae Universitatis Carolinae
On normal homogeneous Einstein manifolds
McKenzie Y. Wang, Wolfgang Ziller (1985)
Annales scientifiques de l'École Normale Supérieure
On normally flat Einstein submanifolds.
Verstraelen, Leopold, Zafindratafa, Georges (1997)
International Journal of Mathematics and Mathematical Sciences
On one class of homogeneous compact Einstein manifolds.
Nikonorov, Yu.G. (2000)
Siberian Mathematical Journal
On para-A-Einstein manifolds.
Sinha, B.B., Sharma, Ramesh (1983)
Publications de l'Institut Mathématique. Nouvelle Série
On para-Nordenian structures
Arif A. Salimov, Filiz Agca (2010)
Annales Polonici Mathematici
The aim of this paper is to investigate para-Nordenian properties of the Sasakian metrics in the cotangent bundle.
On pseudo Ricci-symmetric manifolds.
Arslan, K., Ezentaş, R., Murathan, C., Özgür, C. (2001)
Balkan Journal of Geometry and its Applications (BJGA)
On pseudosymmetric para-Kähler manifolds
Filip Defever, Leopold Verstraelen, Ryszard Deszcz (1998)
Colloquium Mathematicae
On quasi-Sasakian manifolds
Shoji Kanemaki (1984)
Banach Center Publications