Determinantal variety and normal embedding

DOI10.1142/S1793525318500073zbMath1406.53048arXiv1602.01227MaRDI QIDQ4599148

Dmitry Kerner, Yevgeny Liokumovich, Mikhail G. Katz, Karin Usadi Katz

Publication date: 18 December 2017

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.01227

zbMATH Keywords

intrinsic metricdeterminantal varietybi-Lipschitz equivalenceconical stratification

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Basic linear algebra (15A99) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Stratified sets (58A35)

Related Items (2)

On a link criterion for Lipschitz normal embeddings among definable sets ⋮ Lipschitz normal embeddings in the space of matrices

Cites Work

• Small oscillations of the pendulum, Euler's method, and adequality
• Bi-Lipschitz approximation by finite-dimensional imbeddings
• Making conical compactifications wonderful
• Normal embeddings of semialgebraic sets
• Lipschitz regular complex algebraic sets are smooth
• Differential geometry via infinitesimal displacements

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