Hostname: page-component-7bb8b95d7b-l4ctd Total loading time: 0 Render date: 2024-09-29T10:25:09.448Z Has data issue: false hasContentIssue false
  • English
  • Français

CIRCLE ACTIONS AND MORSE THEORY ON QUATERNION-KÄHLER MANIFOLDS

Published online by Cambridge University Press:  01 February 1999

FIAMMETTA BATTAGLIA
FIAMMETTA BATTAGLIA
Affiliation:
Dipartimento di Matematica, Applicata G. Sansone, via S. Marta 3, 50139 Firenze, Italy. E-mail: fiamma@dma.unifi.it
Get access

Abstract

In this paper we study quaternion-Kähler manifolds endowed with an isometric S1-action. We consider the corresponding moment map μ and prove that the only compact quaternion-Kähler manifold with positive scalar curvature which admits an isometric circle action free on μ−1(0) is the quaternionic projective space ℍPn.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 59 , Issue 1 , February 1999 , pp. 345 - 358
Copyright
The London Mathematical Society 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)