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.References
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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