On hypersurfaces in space forms satisfying particular curvature conditions of Tachibana type
On irrotational D-conformal curvature tensor.
On K-contact Riemannian manifolds with vanishing E-contact Bochner curvature tensor
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.
On lens spaces which are isospectral but not isometric
On LP-Sasakian manifolds.
On mean value theorems for small geodesic spheres in Riemannian manifolds
On metrics of positive Ricci curvature conformal to
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
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.
On normal CR-submanifolds of S-manifolds
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
On normal homogeneous Einstein manifolds
On normally flat Einstein submanifolds.
On one class of homogeneous compact Einstein manifolds.
On para-A-Einstein manifolds.
On para-Nordenian structures
The aim of this paper is to investigate para-Nordenian properties of the Sasakian metrics in the cotangent bundle.
On pseudo Ricci-symmetric manifolds.
On pseudosymmetric para-Kähler manifolds
On quasi-Sasakian manifolds