The<i>W</i>-entropy formula for the Witten Laplacian on manifolds with time dependent metrics and potentials
The<i>W</i>-entropy formula for the Witten Laplacian on manifolds with time dependent metrics and potentials
We develop a new approach to prove the W-entropy formula for the Witten Laplacian via warped product on Riemannian manifolds, giving a natural geometric interpretation of the quantities appearing in the W-entropy formula.We also prove the W-entropy formula for the Witten Laplacian on compact Riemannian manifolds with time dependent metrics …