Bochner-Weitzenböck formulas and curvature actions on Riemannian manifolds

DOI10.1090/S0002-9947-05-04068-7zbMath1079.53026arXivmath/0307022WikidataQ115289087 ScholiaQ115289087MaRDI QIDQ5694973

Yasushi Homma

Publication date: 6 October 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0307022

zbMATH Keywords

Casimir elementsinvariant operators, Bochner-Weitzenböck formulasSO\((n)\)-modules

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Local Riemannian geometry (53B20)

Related Items (14)

The spinor and tensor fields with higher spin on spaces of constant curvature ⋮ Twisted Dirac operators and generalized gradients ⋮ Tensor calculus in spherical coordinates using Jacobi polynomials. I: Mathematical analysis and derivations ⋮ A new proof of Branson's classification of elliptic generalized gradients ⋮ The Weitzenböck machine ⋮ Universal positive mass theorems ⋮ Pizzetti formula on the Grassmannian of 2-planes ⋮ Unnamed Item ⋮ Comparative analysis of spectral properties of the Hodge-de Rham and Tachibana operators ⋮ ESTIMATING THE EIGENVALUES ON QUATERNIONIC KÄHLER MANIFOLDS ⋮ A NOTE ON THE CONFORMAL INVARIANCE OF G-GENERALIZED GRADIENTS ⋮ Bochner identities for Kählerian gradients ⋮ Eigenvalues of the Tachibana operator which acts on differential forms ⋮ The positive mass theorem for manifolds with distributional curvature

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