On minimality of determinantal varieties

DOI10.1016/j.laa.2021.05.011zbMath1467.14136arXiv2003.01049OpenAlexW3164454930MaRDI QIDQ2040540

Khazhgali Kozhasov

Publication date: 14 July 2021

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.01049

zbMATH Keywords

singular value decompositionminimal submanifoldsdeterminantal varietiessymmetric matrices with repeated eigenvalues

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Determinantal varieties (14M12) Real algebraic sets (14P05) Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Eigenvalues, singular values, and eigenvectors (15A18) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (3)

Real symmetric matrices with partitioned eigenvalues ⋮ Minimality of tensors of fixed multilinear rank ⋮ On area-minimizing Pfaffian varieties

Cites Work

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• Normal Forms for Skew-Symmetric Matrices and Hamiltonian Systems with First Integrals Linear in Momenta
• New minimal hypersurfaces in and

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