An index formula for degenerate LCPs
نویسندگان
چکیده
منابع مشابه
An Index Formula for Loewner Vector Fields
Let f be C2 real-valued function defined near 0 in R2, ∂2f ∂z2 6= 0 for z 6= 0. Motivated by the Carathéodory conjecture in differential geometry, Loewner conjectured that the index at 0 of the vector field given in complex notation by ∂ 2f ∂z2 is at most two. In this paper we establish a formula that computes the index of these Loewner vector fields from data about the hessian of f .
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1993
ISSN: 0024-3795
DOI: 10.1016/0024-3795(93)90508-l