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In this paper, we study slant Riemannian submersions from conformal Sasakian manifolds onto Riemannian manifolds. We investigate the geometry of foliations associated with the submersion and give sufficient conditions for the submersion to be harmonic. [ABSTRACT FROM AUTHOR]

In this paper, we present necessary and sufficient conditions for a Lorentz contact manifold to be a Lorentz Kenmotsu manifold. Moreover, we obtain the optimal Chen first inequality for semi-slant submanifolds in Lorentz Kenmotsu space forms. Furthermore, the equality case of Chen inequality has been discussed. [ABSTRACT FROM AUTHOR]

In the present paper, we form a sharp inequality for a doubly warped product submanifold of a Riemannian manifold of nearly quasi-constant curvature. [ABSTRACT FROM AUTHOR]

In this paper, we obtain Chen inequalities for submanifolds in Riemannian manifolds of nearly quasi-constant curvature with a special kind of quartersymmetric connection and discuss the equality case of the inequalities. We also obtain some Casorati inequalities for submanifolds in Riemannian manifolds of nearly quasi-constant curvature with the quarter-symmetric connection. [ABSTRACT FROM AUTHOR]

In 1999, De Smet et al. conjectured the generalized Wintgen inequality for submanifolds in real space forms. This conjecture is also known as the DDVV conjecture and it was proved by Ge and Tang. Recently, Mihai established such inequality for Lagrangian submanifold in complex space forms. In this paper, we obtain the generalized Wintgen inequality for bi-slant submanifolds in locally conformal Kaehler space forms. Further, we discuss the particular cases of this inequality i.e. for semi-slant submanifolds, hemi-slant submanifolds, CR-submanifolds, invariant submanifolds and anti-invariant submanifolds in the same ambient space. [ABSTRACT FROM AUTHOR]

The present note is devoted to the study of warped product submanifolds in locally conformal Kaehler manifolds. The second last section deals with the study of the existence of semi-slant submanifolds while in the last section we investigate the existence of doubly warped and doubly twisted product CR-submanifolds. Infact, we have generalized results of ([10], [11]) to locally conformal Kaehler manifolds. [ABSTRACT FROM AUTHOR]

In this paper, we prove an inequality between the normalized scalar curvature and the generalized normalized δ-Casorati curvatures for slant submanifolds of generalized complex space form. Moreover, we characterize those submanifolds for which the equality case holds. [ABSTRACT FROM AUTHOR]

this paper, we formulate new method to obtain the geodesic curvature and geodesic torsion of two regular parametric surfaces in ℝ3. The new method will be different from the older ones in the sense that we will be making use of Rodrigues rotation formula and a operator D [2]. [ABSTRACT FROM AUTHOR]

this paper, we formulate new method to obtain the geodesic curvature and geodesic torsion of two regular parametric surfaces in ℝ3. The new method will be different from the older ones in the sense that we will be making use of Rodrigues rotation formula and a operator D [2]. [ABSTRACT FROM AUTHOR]

The aim of this paper is to study Bochner Ricci semi-symmetric mixed super quasi-Einstein Hermitian manifold and a holomorphically projective Ricci semi-symmetric mixed super quasi-Einstein Hermitian manifold. [ABSTRACT FROM AUTHOR]