- Full text PDF available (4)
- This year (1)
- Last 5 years (2)
- Last 10 years (4)
To study manifolds with negative curvature, Bishop and O’Neill introduced the notion of warped product as a generalization of Riemannian product . In 1985, using the warped product, Oubiña showed that there is a one-to-one correspondence between Sasakian and Kählerian structures . Recently, building on the work of Tanno  (the homothetic… (More)
Pseudo-parallel (shortly PP) submanifolds are defined as a generalization of semi-parallel (shortly SP) submanifolds and as extrinsic analogue of pseudo-symmetric (shortly PS) manifolds (in the sense of R. Deszcz) , . Asperti et al  obtained a description of PP hypersurfaces in space form as quasi-umbilic hypersurfaces or cyclids of Dupin and… (More)
In this paper, we show that a second order parallel symmetric tensor in a generalized Sasakian space form is proportional to the metric tensor and we deduce that there is no semi parallel hypersurface in a Sasakian space form. MSC2000: 53D10, 53C25, 53C21
The aim of this paper is two-fold. First, new generalized Kähler manifolds are constructed starting from both classical almost contact metric and almost Kählerian manifolds. Second, the transformation construction on classical Riemannian manifolds is extended to the generalized geometry setting.