L2 p-Forms and Ricci flow with bounded curvature on manifolds

Details L2 p-Forms and Ricci flow with bounded curvature on manifolds L2 p-Forms and Ricci flow with bounded curvature on manifolds

2007-01-15

arxiv.org/abs/math/0701408v2

Mathematics

Differential Geometry

10 pages

Scientific paper

In this paper, we study the evolution of L2 p-forms under Ricci flow with
bounded curvature on a complete non-compact or a compact Riemannian manifold.
We show that under curvature pinching conditions on such a manifold, the L2
norm of a smooth p-form is non-increasing along the Ricci flow. The L^{\infty}
norm is showed to have monotonicity property too.

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