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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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Almost even-Clifford hermitian manifolds with a large automorphism group
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by Gerardo Arizmendi, Rafael Herrera and Noemi Santana PDF
Proc. Amer. Math. Soc. 144 (2016), 4009-4020 Request permission

Abstract:

We study manifolds endowed with an (almost) even Clifford (hermitian) structure and admitting a large automorphism group. We classify them when they are simply connected and the dimension of the automorphism group is maximal, and also prove a gap theorem for the dimension of the automorphism group.
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Additional Information
  • Gerardo Arizmendi
  • Affiliation: Centro de Investigación en Matemáticas, A. P. 402, Guanajuato, Gto., C.P. 36000, México.
  • MR Author ID: 1121441
  • Email: gerardo@cimat.mx
  • Rafael Herrera
  • Affiliation: Centro de Investigación en Matemáticas, A. P. 402, Guanajuato, Gto., C.P. 36000, México
  • MR Author ID: 624889
  • Email: rherrera@cimat.mx
  • Noemi Santana
  • Affiliation: Instituto de Matemáticas, UNAM, Unidad Cuernavaca, A.P. 6–60, C.P. 62131, Cuernavaca, Morelos, México.
  • MR Author ID: 920649
  • Email: noemi.santana@im.unam.mx
  • Received by editor(s): November 4, 2015
  • Published electronically: April 28, 2016
  • Additional Notes: The first author was partially supported by a CONACyT scholarship. The second and third authors were partially supported by grants from CONACyT and LAISLA (CONACyT-CNRS)
  • Communicated by: Lei Ni
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 4009-4020
  • MSC (2010): Primary 53C10, 53C15, 53C26, 53C35
  • DOI: https://doi.org/10.1090/proc/13071
  • MathSciNet review: 3513556