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Minimality of tensors of fixed multilinear rank

  • Alexander Heaton (MPI MiS, Leipzig + TU Berlin)
E1 05 (Leibniz-Saal)

Abstract

We discover a geometric property of the space of tensors of fixed multilinear (Tucker) rank. Namely, we show that real tensors of fixed multilinear rank form a minimal submanifold of the Euclidean space of all tensors of given format endowed with the Frobenius inner product. This is joint work with Khazhgali Kozhasov and Lorenzo Venturello.

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Mirke Olschewski

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