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Lower Bounds for Morse Index of Constant Mean Curvature Tori
Author(s) -
Rossman Wayne
Publication year - 2002
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609302001261
Subject(s) - mathematics , morse code , torus , constant (computer programming) , quadratic growth , combinatorics , curvature , upper and lower bounds , mean curvature , genus , mathematical analysis , space (punctuation) , pure mathematics , geometry , computer science , electrical engineering , programming language , engineering , linguistics , philosophy , botany , biology
In the paper, three lower bounds are given for the Morse index of a constant mean curvature torus in Euclidean3‐space, in terms of its spectral genus g . The first two lower bounds grow linearly in g and are stronger for smaller values of g , while the third grows quadratically in g but is weaker for smaller values of g . 2000 Mathematics Subject Classification 53A10, 53A35.
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