The behavior of the principal distributions on the graph of a homogeneous polynomial

DOI10.2748/TMJ/1113247561zbMath1022.53006OpenAlexW2089983238MaRDI QIDQ1848684

Naoya Ando

Publication date: 26 October 2003

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1113247561

zbMATH Keywords

indexhomogeneous polynomialumbilical pointprincipal curvature distribution

Mathematics Subject Classification ID

Differential topology (57R99) Surfaces in Euclidean and related spaces (53A05)

Cites Work

• Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern.
• A proof of a conjecture of Loewner and of the conjecture of Caratheodory on umbilic points
• Planar vector field versions of Carathéodory's and Loewner's conjectures
• Real solvability of the equation \(\partial^2_{\overline z}\omega=\rho g\) and the topology of isolated umbilics
• An isolated umbilical point of the graph of a homogeneous polynomial
• On G. Bol's proof of Carathéodory's conjecture
• A Sharp Geometric Estimate for the Index of an Umbilic on a Smooth Surface
• Umbilical Points and W-Surfaces
• The behavior of the principal distributions around an isolated umbilical point

This page was built for publication: The behavior of the principal distributions on the graph of a homogeneous polynomial