Optimal inequalities for contact CR-submanifolds in almost contact metric manifolds
Copyright policy )Optimal inequalities for contact CR-submanifolds in almost contact metric manifolds
Abstract In [An optimal inequality for CR-warped products in complex space forms involving CR δ-invariant, Internat. J. Math. 23(3) (2012)], B.-Y. Chen introduced the CR δ-invariant for CR-submanifolds. Then, in [Two optimal inequalities for anti-holomorphic submanifolds and their applications, Taiwan. J. Math. 18 (2014), 199–217], F. R. Al-Solamy, B.-Y. Chen and S. Deshmukh proved two optimal inequalities for anti-holomorphic submanifolds in complex space forms involving the CR δ-invariant. In this paper, we obtain optimal inequalities for this invariant for contact CR-submanifolds in almost contact metric manifolds.
Special Riemannian manifolds (Einstein, Sasakian, etc.), Sasakian space form, Global submanifolds, General geometric structures on manifolds (almost complex, almost product structures, etc.), Contact manifolds (general theory), CR \(\delta\)-invariant, Kenmotsu space form, optimal inequality, contact CR-submanifold, Almost contact and almost symplectic manifolds, almost contact metric manifold
Special Riemannian manifolds (Einstein, Sasakian, etc.), Sasakian space form, Global submanifolds, General geometric structures on manifolds (almost complex, almost product structures, etc.), Contact manifolds (general theory), CR \(\delta\)-invariant, Kenmotsu space form, optimal inequality, contact CR-submanifold, Almost contact and almost symplectic manifolds, almost contact metric manifold
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