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LOWER BOUNDS FOR MORSE INDEX OF CONSTANT MEAN CURVATURE TORI

Published online by Cambridge University Press:  24 March 2003

WAYNE ROSSMAN
WAYNE ROSSMAN
Affiliation:
Department of Mathematics, Faculty of Science, Kobe University, Rokko, Kobe 657-8501, Japanwayne@math.kobe-u.ac.jp
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Abstract

In the paper, three lower bounds are given for the Morse index of a constant mean curvature torus in Euclidean $3$ -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 $g$ .

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 5 , September 2002 , pp. 599 - 609
Copyright
© The London Mathematical Society 2002

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