Results 111 to 120 of about 345 (143)

Umbilical submanifolds of Sasakian space forms

open access: yesJournal of Differential Geometry, 1978
Blair, David E., Vanhecke, Lieven
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A Note on Hypersurfaces in a Sasakian Space Form

open access: yesA Note on Hypersurfaces in a Sasakian Space Form
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Generalized Sasakian space forms and trans-Sasakian manifolds [PDF]

open access: yes, 2012
Summary: We study generalized Sasakian space forms and trans-Sasakian manifolds. We present results on generalized recurrent, generalized \(\phi\)-recurrent, \(\phi\)-concircular and \(\phi\)-conharmonically recurrent trans-Sasakian manifolds and generalized Sasakian space forms.
Somashekhara, G., Nagaraja, H. G.
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On ϕ-recurrent generalized Sasakian-space-forms

Lobachevskii Journal of Mathematics, 2012
The authors study \(\phi\)-recurrent generalized Sasakian-space-forms, i.e. almost contact metric manifolds satisfying additional conditions for the curvature tensor. In particular, the curvature tensor of such manifolds is of the form \[ \begin{multlined} R(X,Y)Z = f_1(g(Y,Z)X-g(X,Z)Y)+f_2(g(X,\phi Z)\phi Y-g(Y,\phi Z)\phi X+2 g(X,\phi Y)\phi Z ...
Avijit Sarkar
exaly   +3 more sources

Magnetic Jacobi Fields in Sasakian Space Forms

Mediterranean Journal of Mathematics, 2022
In [J. Geom. Anal. 32, No. 3, Paper No. 96, 26 p. (2022; Zbl 1489.53076)] the authors obtained all magnetic Jacobi fields along contact magnetic curves on 3-dimensional Sasakian space forms. It is known that typical examples of uniform magnetic fields are Kähler magnetic fields on Kähler manifolds, but it is very difficult to study magnetic Jacobi ...
Jun-ichi Inoguchi, Marian Ioan Munteanu
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On the Projective Curvature Tensor of Generalized Sasakian-Space-Forms

open access: yesQuaestiones Mathematicae, 2010
The object of the present paper is to study the nature of generalized Sasakian-space-forms under some conditions regarding projective curvature tensor. All the results obtained in this paper are in the form of necessary and sufficient conditions.Keywords:
Uday Chand De, Avijit Sarkar
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