In this paper, we obtain Chen’s inequalities in (k,?μ)-contact space form with a semi-symmetric non-metric connection. Also we obtain the inequalites for Ricci and K-Ricci curvatures.
This paper deals with the study of CR-submanifolds of a nearly trans-Sasakian manifold with a semi symmetric non-metric connection. Nijenhuis tensor, integrability conditions for some distributions on CR-submanifolds ...This paper deals with the study of CR-submanifolds of a nearly trans-Sasakian manifold with a semi symmetric non-metric connection. Nijenhuis tensor, integrability conditions for some distributions on CR-submanifolds of a nearly trans-Sasakian manifold with a semi symmetric non- metric connection are discussed.展开更多
The idea of this research is to study different types of connections in an almost Hermite manifold. The connection has been established between linear connection and Riemannian connection. Three new linear connections...The idea of this research is to study different types of connections in an almost Hermite manifold. The connection has been established between linear connection and Riemannian connection. Three new linear connections <span style="white-space:nowrap;">∇</span><sup>1</sup>, <span style="white-space:nowrap;">∇</span><sup>2</sup>, <span style="white-space:nowrap;">∇</span><sup>3</sup> are introduced. The necessary and sufficient condition for <span style="white-space:nowrap;">∇</span><sup>1</sup>, <span style="white-space:nowrap;">∇</span><sup>2</sup>, <span style="white-space:nowrap;">∇</span><sup>3</sup> to be metric is discussed. A new metric <i>s</i><sup>*</sup> (<i>X</i>,<i>Y</i>) has been defined for (<i>M</i><sup><i>n</i></sup>,<i>F</i>,<i>g</i><sup>*</sup>) and additional properties are discussed. It is also proved that for the quarter symmetric connection <span style="white-space:nowrap;">∇ </span>is unique in given manifold. The hessian operator with respect to all connections defined above has also been discussed.展开更多
文摘In this paper, we obtain Chen’s inequalities in (k,?μ)-contact space form with a semi-symmetric non-metric connection. Also we obtain the inequalites for Ricci and K-Ricci curvatures.
文摘This paper deals with the study of CR-submanifolds of a nearly trans-Sasakian manifold with a semi symmetric non-metric connection. Nijenhuis tensor, integrability conditions for some distributions on CR-submanifolds of a nearly trans-Sasakian manifold with a semi symmetric non- metric connection are discussed.
文摘The idea of this research is to study different types of connections in an almost Hermite manifold. The connection has been established between linear connection and Riemannian connection. Three new linear connections <span style="white-space:nowrap;">∇</span><sup>1</sup>, <span style="white-space:nowrap;">∇</span><sup>2</sup>, <span style="white-space:nowrap;">∇</span><sup>3</sup> are introduced. The necessary and sufficient condition for <span style="white-space:nowrap;">∇</span><sup>1</sup>, <span style="white-space:nowrap;">∇</span><sup>2</sup>, <span style="white-space:nowrap;">∇</span><sup>3</sup> to be metric is discussed. A new metric <i>s</i><sup>*</sup> (<i>X</i>,<i>Y</i>) has been defined for (<i>M</i><sup><i>n</i></sup>,<i>F</i>,<i>g</i><sup>*</sup>) and additional properties are discussed. It is also proved that for the quarter symmetric connection <span style="white-space:nowrap;">∇ </span>is unique in given manifold. The hessian operator with respect to all connections defined above has also been discussed.