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arXiv · 2112.01222

Minimal Norm Tensors Principle and its Applications

Zhen Guo·ShanLin Guan
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Abstract

In this paper we study the minimal norm tensors for general third covariant tensors and fourth covariant tensors, using this we can give a new explanation of Weyl tensor and Cotten tensor: Weyl tensor is the minimal norm tensor of Riemannian curvature tensor and Cotten tensor is the minimal norm tensor of divergence of Riemannian curvature tensor, and we also get some useful inequalities by computation the norm of minimal norm tensors.

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BibTeXRIS

Zhen Guo, ShanLin Guan. 2021-10-19. Minimal Norm Tensors Principle and its Applications. https://arxiv.org/abs/2112.01222

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