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Divergence-Free Tensors and Cofactors in Geometry and Fluid Dynamics

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Mathematics Going Forward

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2313))

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Abstract

We present a few connections between the notion of Div-free/Div-BV symmetric tensors, with geometrical topics such as convex bodies or minimal surfaces. In passing, we establish some related results about the Cofactor map and the geometrical mean of positive definite matrices.

Dedicated to Catriona Byrne, whose action in favour of the dissemination of mathematics was as much efficient as discreet.

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Acknowledgements

I am indebted to the anonymous referee, who let me know a relevant piece of literature.

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Correspondence to Denis Serre .

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Serre, D. (2023). Divergence-Free Tensors and Cofactors in Geometry and Fluid Dynamics. In: Morel, JM., Teissier, B. (eds) Mathematics Going Forward . Lecture Notes in Mathematics, vol 2313. Springer, Cham. https://doi.org/10.1007/978-3-031-12244-6_32

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