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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A remark on the nonuniqueness of tangent cones
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by John E. Hutchinson and Michael Meier PDF
Proc. Amer. Math. Soc. 97 (1986), 184-185 Request permission

Abstract:

We give an example of an $n$-dimensional varifold $V$ such that the $n$-dimensional density of $V$ at some point $p$ equals 1, the $(n - 1)$ density of the first variation at $p$ equals 0, and $V$ has nonunique tangent cones at $p$. This answers the question implicit in [W. Allard, On the first variation of a varifold, Ann. of Math. (2) 95 (1972), 417-491, ยง6.5].
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 97 (1986), 184-185
  • MSC: Primary 49F20
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0831410-9
  • MathSciNet review: 831410