Weitzenböck Formula on Lie Algebroids

• Autorzy: Balcerzak B. , Kalina J. , Pierzchalski A.

Identyfikatory

DOI

10.4064/ba60-2-6

• Języki publikacji: EN

Abstrakty

EN

A Weitzenböck formula for the Laplace–Beltrami operator acting on differential forms on Lie algebroids is derived.

Słowa kluczowe

EN

Lie algebroid; connection; Hodge star; Laplace-Beltrami operator; Ricci curvature; Weitzenbock formula

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2012
• Tom: Vol. 60, no 2
• Strony: 165--176
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Balcerzak B.

• Institute of Mathematics Technical University of Lodz Wólczanska 215 90-924 Łódz, Poland

autor

Kalina J.

• Institute of Mathematics Technical University of Lodz Wólczanska 215 90-924 Łódz, Poland

autor

Pierzchalski A.

• Faculty of Mathematics and Computer Science University of Lodz Banacha 22 90-238 Łódz, Poland

Bibliografia

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• [5] Y. Kosmann-Schwarzbach, C. Laurent-Gengoux and A. Weinstein, Modular classes of Lie algebroid morphisms, Transform. Groups 13 (2008), 727–755.
• [6] J. Kubarski, Hirzebruch signature operator for transitive Lie algebroids, in: Differential Geometry and its Applications, Proc. Conf. in Honour of Leonhard Euler (Olomouc, 2007), World Sci., 2008, 317–328.
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