Results 121 to 130 of about 275 (150)

On $C$-harmonic forms in a compact Sasakian space

Tohoku Mathematical Journal, 1967
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Umbilical submanifolds of Sasakian space forms

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

A Note on Hypersurfaces in a Sasakian Space Form
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Semi-Riemannian Generalized Sasakian Space Forms

Bulletin of the Malaysian Mathematical Sciences Society, 2015
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Pablo Alegre, Alfonso Carriazo, Carriazo Alfonso   +2 more
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Warped product submanifold in generalized Sasakian space form [PDF]

, 2011
Summary: \textit{K.~Matsumoto} and \textit{I.~Mihai} [SUT J. Math. 38, No. 2, 135--144 (2002; Zbl 1040.53074)] established sharp inequalities for some warped product submanifolds in Sasakian space forms. \textit{A.~Olteanu} [Acta Math. Acad. Paedagog. Nyházi. (N. S.) 25, No.
Malek, Fereshteh, Nejadakbary, Vahid
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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 Legendre Submanifolds in Lorentzian Sasakian Space Forms

Bulletin of the Iranian Mathematical Society, 2020
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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 ...
Sarkar, A., Sen, Matilal
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Warped product submanifolds in Sasakian space forms

SUT Journal of Mathematics, 2002
Let \(M_1 \times_f M_2\) be a warped product submanifold of a Sasakian space form \(N\) so that the Reeb vector field of \(N\) is either tangent or normal to \(M_1 \times_f M_2\). Denote by \(\Delta\) the Laplacian of \(M_1\). The authors derive an upper bound for \(\Delta f/f\) that depends only on the dimensions of \(M_1\) and \(M_2\), the \(\varphi\)
Matsumoto, Koji, Mihai, Ion
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Minimal submanifolds in Sasakian space forms

Journal of Geometry, 1986
A Sasakian space form is defined as a complete simply-connected Sasakian manifold of constant \(\phi\)-sectional curvature and as such is one of the model spaces described by \textit{S. Tanno} [Tôhoku Math. J., II. Ser. 21, 501-507 (1969; Zbl 0188.268)]. A Sasakian space form of constant \(\phi\)- sectional curvature c and dimension \(2m+1\) is denoted
Van Lindt, D., Verheyen, P., Verstraelen, L.   +2 more
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