Dirac operators on Lagrangian submanifolds

[摘要] We study a natural Dirac operator on a Lagrangian submanifold of a Kahler manifold. We first show that its square coincides with the Hodge-de Rham Laplacian provided the complex structure identifies the spin structures of the tangent and normal bundles of the submanifold. We then give extrinsic estimates for the eigenvalues of that operator and discuss some examples. (C) 2004 Elsevier B.V. All rights reserved.

[发布日期] 2004-12-01

[关键词] Dirac operators;global analysis;spectral geometry;spin geometry;Lagrangian submanifolds