# Branched holomorphic Cartan geometry on Sasakian manifolds

## TL;DR

This paper extends the concept of branched holomorphic Cartan geometry from complex manifolds to Sasakian manifolds, exploring its properties and applications, especially on Sasakian Calabi-Yau manifolds.

## Contribution

It introduces a new framework for branched holomorphic Cartan geometries on Sasakian manifolds, broadening the scope of geometric structures studied in this context.

## Key findings

- Branched holomorphic Cartan geometries are characterized on Sasakian Calabi-Yau manifolds.
- New properties of these geometries are established in the Sasakian setting.
- Potential applications to geometric structures on Sasakian manifolds are discussed.

## Abstract

We extend the notion of (branched) holomorphic Cartan geometry on a complex manifold to the context of Sasakian manifolds. Branched holomorphic Cartan geometries on Sasakian Calabi-Yau manifolds are investigated.