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Bulletin of the American Mathematical Society

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The existence of nontriangulable cut loci


Authors: David Singer and Herman Gluck
Journal: Bull. Amer. Math. Soc. 82 (1976), 599-602
MSC (1970): Primary 53C20; Secondary 42A68
MathSciNet review: 0415539
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References [Enhancements On Off] (What's this?)

  • 1. Herman Gluck and David Singer, Geodesic fields and construction of nontriangulable cut loci, Differential geometry (Proc. Conf., Michigan State Univ., East Lansing, Mich., 1976) Dept. Math., Michigan State Univ., East Lansing, Mich., 1976, pp. 1–15. MR 0438361
  • 2. Shoshichi Kobayashi, On conjugate and cut loci, Studies in Global Geometry and Analysis, Math. Assoc. Amer. (distributed by Prentice-Hall, Englewood Cliffs, N.J.), 1967, pp. 96–122. MR 0212737
  • 3. Walter Rudin, Real and complex analysis, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0210528
  • 4. Dirk J. Struik, Lectures on Classical Differential Geometry, Addison-Wesley Press, Inc., Cambridge, Mass., 1950. MR 0036551

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DOI: https://doi.org/10.1090/S0002-9904-1976-14125-0