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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Isotropic immersions and Veronese manifolds
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by T. Itoh and K. Ogiue PDF
Trans. Amer. Math. Soc. 209 (1975), 109-117 Request permission

Abstract:

An $n$-dimensional Veronese manifold is defined as a minimal immersion of an $n$-sphere of curvature $n/2(n + 1)$ into an $\{ n(n + 3)/2 - 1\}$-dimensional unit sphere. The purpose of this paper is to give some characterizations of a Veronese manifold in terms of isotropic immersions.
References
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 209 (1975), 109-117
  • MSC: Primary 53C40
  • DOI: https://doi.org/10.1090/S0002-9947-1975-0375172-8
  • MathSciNet review: 0375172