Dirac-Laplace算子的特征值间距估计

Estimate of Dirac-Laplace Operator's Eigenvalue Gap

利用thegeneralBochnerfomula和Rayleightheorem,给出了球面Sn+p(1)的子流形M上Dirac Laplace算子的特征值间距估计,并由此讨论在一些限制条件下相应的特征值间距的有关估计.特别地对M为Spin 子流形时,给出了其特征值间距的估计.

With the help of the general Bochner formula and Rayleigh theorem,the estimate of Dirac-Laplace operator's eigenvalue gap is obtained for the case that M is an n-dimensional compact Spin-submanifold of the unit sphere of dimension n+p.And for the special case that M is a compact minimal Spin-submanifold,the estimate of eigenvalue gap is given.