Talk
Minimality of tensors of fixed multilinear rank
- Alexander Heaton (MPI MiS, Leipzig + TU Berlin)
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.
