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On the groups of c-projective transformations of complete K\'ahler manifolds
- Source :
- Ann. Global Anal. Geom. 54 (2018), no. 3, 329--352
- Publication Year :
- 2017
-
Abstract
- We show that for any complete connected K\"ahler manifold the index of the group of complex affine transformations in the group of c-projective transformations is at most two unless the K\"ahler manifold is isometric to complex projective space equipped with a positive constant multiple of the Fubini-Study metric. This establishes a stronger version of the recently proved Yano-Obata conjecture for complete K\"ahler manifolds.<br />Comment: 24 pages; a few more minor corrections; to appear in Annals of Global Analysis and Geometry
- Subjects :
- Mathematics - Differential Geometry
32Q15, 32J27, 53A20, 53C24, 22F50, 37J35
Subjects
Details
- Database :
- arXiv
- Journal :
- Ann. Global Anal. Geom. 54 (2018), no. 3, 329--352
- Publication Type :
- Report
- Accession number :
- edsarx.1705.11138
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s10455-018-9604-6