Estimating the eigenvalues on Quaternionic K\"ahler Manifolds
微分几何
2007-05-23 v2
摘要
We study geometric first order differential operators on quaternionic K\"ahler manifolds. Their principal symbols are related to the enveloping algebra and Casimir elements for . This observation leads to anti-symmetry of the principal symbols and Bochner-Weitzenb\"ock formulas for operators. As an application, we estimate the first eigenvalues of them.
引用
@article{arxiv.math/0405384,
title = {Estimating the eigenvalues on Quaternionic K\"ahler Manifolds},
author = {Yasushi Homma},
journal= {arXiv preprint arXiv:math/0405384},
year = {2007}
}
备注
32page. minor revision including new observations