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Determinantal Variety and Normal Embedding by Katz, Karin U.; Katz, Mikhail G.; Kerner, Dmitry; Liokumovich, Yevgeny is a scholarly article available to read on EtoBox.

What is Determinantal Variety and Normal Embedding about?

The space of matrices of positive determinant GL^+_n inherits an extrinsic metric space structure from R^{n^2}. On the other hand, taking the infimum of the lengths of all paths connecting two points in GL^+_n gives an intrinsic metric. We prove bilipschitz equivalence for intrinsic and extrinsic metrics on GL^+_n, exploiting the conical structure of the stratification of the space of n by n matrices by rank.

Author

Katz, Karin U.; Katz, Mikhail G.; Kerner, Dmitry; Liokumovich, Yevgeny

Published

2016

Language

EN