Gromov’s Tori Are Optimal

We give an optimal bound on normal curvatures of immersed n -torus in a Euclidean ball of large dimension.

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Bibliographic Details
Published inGeometric and functional analysis Vol. 34; no. 1; pp. 202 - 208
Main Author Petrunin, Anton
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.02.2024
Springer Nature B.V
Subjects
Analysis
Euclidean geometry
Mathematics
Mathematics and Statistics
Toruses
Online AccessGet full text
ISSN1016-443X
1420-8970
DOI10.1007/s00039-024-00663-0

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Summary:We give an optimal bound on normal curvatures of immersed n -torus in a Euclidean ball of large dimension.
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ISSN:1016-443X
1420-8970
DOI:10.1007/s00039-024-00663-0