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A Note On Umbilics of a Closed Surface

Published online by Cambridge University Press:  22 January 2016

Minoru Kurita
Minoru Kurita*
Affiliation:
Mathematical Institute Nagoya University
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In this paper we investigate indices of umbilics of a closed surface in the euclidean space. Most part of the discussion is concerned with a symmetric tensor field of degree 2, or rather a direction field, on a Riemannian manifold of dimension 2.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 15 , August 1959 , pp. 219 - 223
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1959

References

Literature

[1] Blaschke, W., Vorlesungen über Differentialgeometrie III, 1929.Google Scholar
[2] Steenrod, N., The topology of fibre bundles, 1951.Google Scholar