Abstract
We define a semi-symmetric non-metric connection in a nearly Sasakian manifold and we consider semi-invariant submanifolds of a nearly Sasakian manifold endowed with a semi-symmetric non-metric connection. Moreover, we also obtain integrability conditions of the distributions on semi-invariant submanifolds.
Keywords.: Semi-invariant submanifolds; semi-symmetric non-metric connection; nearly Sasakian manifolds; Gauss and Weingarten equations; integrability conditions; distributions
Received: 2010-01-28
Revised: 2010-05-11
Accepted: 2010-06-02
Published Online: 2011-05-12
Published in Print: 2011-June
© de Gruyter 2011
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Keywords for this article
Semi-invariant submanifolds;
semi-symmetric non-metric connection;
nearly Sasakian manifolds;
Gauss and Weingarten equations;
integrability conditions;
distributions
Articles in the same Issue
- Semiinfinite multiobjective fractional programming, part II: Duality models
- Wavelet characterization of Sobolev spaces with variable exponent
- Structure of the fixed point set of asymptotically nonexpansive mappings in Banach spaces with weak uniformly normal structure
- Masas in the Calkin algebra without the Continuum Hypothesis
- Existence and uniqueness results of some fractional boundary value problem
- Set-valued variational-like inclusions with H -η-accretive operators in Banach spaces
- On semi-invariant submanifolds of a nearly Sasakian manifold admitting a semi-symmetric non-metric connection
- An estimate for the distance of a complex valued Sobolev function defined on the unit disc to the class of holomorphic functions
- Comparison ODE theorems related to the method of lines