Contact CR-warped product submanifolds of nearly Lorentzian para-Sasakian manifold,

In the present paper we have investigated CR-submanifold of a nearly Lorentzian para-Sasakian manifolds, generalizing sharp inequality namely IIhII^2 > 2/9 s+2sII\delta ln f II^2, for contact CR-warped products of nearly Lorentzian para-Sasakian manifolds. It is also proved that the derive inequalities for contact CR-warped products either in any contact metric manifold. The equality case is also handled.本文对近洛伦兹仿萨萨克流形（nearly Lorentzian para-Sasakian manifold）的CR子流形（CR-submanifold）进行了研究，推广了近洛伦兹仿萨萨克流形上接触CR挠积（contact CR-warped product）的精确不等式，即||h||² > 2/9 s + 2s||δ ln f||²。同时证明了所得不等式对任意接触度量流形（contact metric manifold）上的接触CR挠积均成立，并对等号情形进行了处理。