Some topics in Sasakian geometry, a survey
Aleksy Tralle
TL;DR
This survey reviews recent advances in Sasakian geometry, focusing on topological properties and existence questions of Sasakian structures, building on the foundational research program by Boyer and Galicki.
Contribution
It compiles and discusses recent developments in the study of Sasakian structures, highlighting progress in understanding their topology and existence.
Findings
Advances in topological classification of Sasakian manifolds
New existence results for Sasakian structures on various manifolds
Progress in understanding obstructions to Sasakian structures
Abstract
In the seminal book of Boyer and Galicki "Sasakian Geometry" the authors formulated a research program of studying topological properties and answering questions about the existence of Sasakian structures. We survey recent progress in this topic.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometry and complex manifolds · Geometric Analysis and Curvature Flows