The Bochner identities for the Kählerian gradients

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We discuss algebraic properties for the symbols of geometric first order differential operators on almost Hermitian manifolds and Kähler manifolds. Through study on the universal enveloping algebra and higher Casimir elements, we know algebraic relations for the symbols like the Clifford algebra. From the relations, we have all the Bochner identities for the operators. As applications, we have vanishing theorems, the Bochner-Weitzenböck formula, and eigenvalue estimates for the operators on Kähler manifolds.
49 pages, LaTeX2e

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Differential Geometry, Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/64450

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0207031
 http://arxiv.org/abs/math/0207031

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arXiv