N (k)-quasi Einstein manifolds are introduced and studied.
We obtain certain inequalities involving several intrinsic invariants namely scalar curvature, Ricci curvature and k-Ricci curvature, and main extrinsic invariant namely squared mean curvature for submanifolds in a locally conformal almost cosymplectic manifold with pointwise constant ϕ-sectional curvature. Applying these inequalities we obtain several… (More)
For submanifolds tangent to the structure vector field in cosymplectic space forms, we establish a basic inequality between the main intrinsic invari-ants of the submanifold, namely its sectional curvature and scalar curvature on one side; and its main extrinsic invariant, namely squared mean curvature on the other side. Some applications including… (More)
The face is a key for transmitting personality to a character games. Therefore, generation of realistic digital faces has been one of the most interesting issues in computer graphics. Here, we propose a novel approach that generates plausible faces from the symmetric face, given the statistics about the facial asymmetry of healthy subjects. We aim at… (More)