Electronic Resource
Springer
Geometriae dedicata
82 (2000), S. 115-137
ISSN:
1572-9168
Keywords:
homogeneous polynomials
;
umbilical points
;
indices.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Suppose that the origin o of R 3 is an isolated umbilical point of the graph of a homogeneous polynomial in two real variables of degree k≥3. Then we see that the index of o is an element of the set 1−k/2+i [k/2] i=0. Moreover, we see that each element of 1−k/2+i [k/2] i=0 may be the index of o on the graph of a suitable homogeneous polynomial of degree k.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1005182230528
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