Derivatives of skew-symmetric and symmetric vector-valued tensors

B. Balcerzak; A. Pierzchalski

Derivatives of skew-symmetric and symmetric vector-valued tensors

Authors

B. Balcerzak Institute of Mathematics, Lodz University of Technology
A. Pierzchalski Faculty of Mathematics and Computer Science, University of Lodz

Abstract

Second order elliptic operator of Laplace type on bundles of vector-valued tensors on a Lie algebroid are introduced and investigated. The Weitzenboeck type formulas in the case of skew-symmetric and symmetric tensors are derived.

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Published

2013-06-26

How to Cite

Balcerzak, B., & Pierzchalski, A. (2013). Derivatives of skew-symmetric and symmetric vector-valued tensors. Transactions of Institute of Mathematics, the NAS of Ukraine, 10(6), 35–55. Retrieved from https://trim.imath.kiev.ua/index.php/trim/article/view/274