Vanishing Homology of Warped Product Submanifolds in Complex Space Forms and Applications
Vanishing Homology of Warped Product Submanifolds in Complex Space Forms and Applications
In this paper, we prove the nonexistence of stable integral currents in compact oriented warped product pointwise semi-slant submanifold Mn of a complex space form M˜(4ϵ) under extrinsic conditions which involve the Laplacian, the squared norm gradient of the warped function, and pointwise slant functions. We show that i-the homology …