Einstein metrics on rational homology 7-spheres

Charles P. Boyer[1]; Krzysztof Galicki[1]; Michael Nakamaye[1]

  • [1] University of New Mexico, Department of Mathematics and Statistics, Albuquerque NM 87131 (USA)

Annales de l’institut Fourier (2002)

  • Volume: 52, Issue: 5, page 1569-1584
  • ISSN: 0373-0956

Abstract

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In this paper we demonstrate the existence of Sasakian-Einstein structures on certain 2- connected rational homology 7-spheres. These appear to be the first non-regular examples of Sasakian-Einstein metrics on simply connected rational homology spheres. We also briefly describe the rational homology 7-spheres that admit regular positive Sasakian structures.

How to cite

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Boyer, Charles P., Galicki, Krzysztof, and Nakamaye, Michael. "Einstein metrics on rational homology 7-spheres." Annales de l’institut Fourier 52.5 (2002): 1569-1584. <http://eudml.org/doc/116018>.

@article{Boyer2002,
abstract = {In this paper we demonstrate the existence of Sasakian-Einstein structures on certain 2- connected rational homology 7-spheres. These appear to be the first non-regular examples of Sasakian-Einstein metrics on simply connected rational homology spheres. We also briefly describe the rational homology 7-spheres that admit regular positive Sasakian structures.},
affiliation = {University of New Mexico, Department of Mathematics and Statistics, Albuquerque NM 87131 (USA); University of New Mexico, Department of Mathematics and Statistics, Albuquerque NM 87131 (USA); University of New Mexico, Department of Mathematics and Statistics, Albuquerque NM 87131 (USA)},
author = {Boyer, Charles P., Galicki, Krzysztof, Nakamaye, Michael},
journal = {Annales de l’institut Fourier},
keywords = {Einstein metrics; sasakian structures; homology spheres; Sasakian structures},
language = {eng},
number = {5},
pages = {1569-1584},
publisher = {Association des Annales de l'Institut Fourier},
title = {Einstein metrics on rational homology 7-spheres},
url = {http://eudml.org/doc/116018},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Boyer, Charles P.
AU - Galicki, Krzysztof
AU - Nakamaye, Michael
TI - Einstein metrics on rational homology 7-spheres
JO - Annales de l’institut Fourier
PY - 2002
PB - Association des Annales de l'Institut Fourier
VL - 52
IS - 5
SP - 1569
EP - 1584
AB - In this paper we demonstrate the existence of Sasakian-Einstein structures on certain 2- connected rational homology 7-spheres. These appear to be the first non-regular examples of Sasakian-Einstein metrics on simply connected rational homology spheres. We also briefly describe the rational homology 7-spheres that admit regular positive Sasakian structures.
LA - eng
KW - Einstein metrics; sasakian structures; homology spheres; Sasakian structures
UR - http://eudml.org/doc/116018
ER -

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