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EIGENVALUE ESTIMATES AND THE INDEX OF HESSIAN FIELDS
Published online by Cambridge University Press: 18 April 2001
Abstract
The local Caratheodory conjecture on the index of an isolated singularity of the principal foliations in surface theory is equivalent to a conjecture of Loewner on the index of the isolated singularities of the Hessian operator of a smooth function in the plane. Here we prove the latter conjecture for a special class of functions.
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- © The London Mathematical Society 2001
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