Positive Sasakian structures on 5-manifolds

Details Positive Sasakian structures on 5-manifolds Positive Sasakian structures on 5-manifolds

2006-12-18

arxiv.org/abs/math/0612524v1

Mathematics

Differential Geometry

Scientific paper

The aim of this paper is to study compact 5--manifolds which carry a positive
Sasakian structure. Strong restrictions are derived for the integral homology
groups. In some cases, all positive Sasakian structures are classified. A key
step is to study log Del Pezzo surfaces whose boundary divisor contains
positive genus curves.

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