Bochner-weitzenböck formulas and curvature actions on Riemannian manifolds

研究成果: Article

12 引用 (Scopus)

抄録

Gradients are natural first order differential operators depending on Riemannian metrics. The principal symbols of them are related to the enveloping algebra and higher Casimir elements. We give formulas in the enveloping algebra that induce not only identities for higher Casimir elements but also all Bochner-Weitzenböck formulas for gradients. As applications, we give some vanishing theorems.

元の言語English
ページ(範囲)87-114
ページ数28
ジャーナルTransactions of the American Mathematical Society
358
発行部数1
DOI
出版物ステータスPublished - 2006 1
外部発表Yes

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Enveloping Algebra
Algebra
Riemannian Manifold
Curvature
Gradient
Vanishing Theorems
Riemannian Metric
Differential operator
First-order

ASJC Scopus subject areas

  • Mathematics(all)

これを引用

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