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Total absolute curvature and tight submanifolds in hyperbolic space
Author(s) -
Solanes Gil
Publication year - 2007
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdm012
Subject(s) - absolute (philosophy) , curvature , hyperbolic space , space (punctuation) , mean curvature , mathematics , mathematical analysis , pure mathematics , geometry , computer science , philosophy , epistemology , operating system
An integral‐geometric formula for the total absolute curvature of tight submanifolds in hyperbolic space is given. Counterexamples to the Chern–Lashof inequality are constructed in hyperbolic space of dimension 3.