Lichnerowicz-Type Laplacians in the Bochner Technique
摘要
In the well-known monograph of A. Besse the following is written: the Bochner technique is a method of proving vanishing theorems for null space of a Laplace operator admitting a Weitzenböck decomposition and further of estimating its lowest nonzero eigenvalue. In this article, we consider a generalized form of the well-known Lichnerowicz Laplacian, show how the Bochner technique works for this operator and provide some its important examples.