Monotonicity formulae and vanishing theorems
Jintang Li · Pacific Journal of Mathematics · 2016
We study Cartan-Hadamard manifolds with pinching conditions.Using the stress-energy tensor, we establish some monotonicity formulae for vector bundle-valued p-forms and pluriharmonic maps between Kähler manifolds.Some vanishing theorems follow immediately from the monotonicity formulae under suitable growth conditions on the energy of p-forms and pluriharmonic maps.