Tohoku Mathematical Journal
2002
June
SECOND SERIES VOL. 54, NO. 2

Tohoku Math. J.
54 (2002), 163-177

Title THE BEHAVIOR OF THE PRINCIPAL DISTRIBUTIONS ON THE GRAPH OF A HOMOGENEOUS POLYNOMIAL

Author Naoya Ando

(Received April 28, 2000, revised February 5, 2001)
Abstract. In this paper, we shall study the behavior of the principal distributions on the graph of a homogeneous polynomial in two variables such that the set of its umbilical points is finite. In particular, we shall present a method of describing the indices of the umbilical points and the point at infinity.

2000 Mathematics Subject Classification. Primary 53A05; Secondary 53A99, 53B25.

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