On the convergence of the Sasaki J-flow

TL;DR

This paper studies the smooth convergence of the Sasaki J-flow and uses this to establish a lower bound for the K-energy map within Sasakian geometry.

Contribution

It proves the $C^$-convergence of the Sasaki J-flow and applies this to derive bounds on the K-energy map in Sasakian manifolds.

Findings

Proves $C^$-convergence of the Sasaki J-flow

Establishes a lower bound for the K-energy map in Sasakian geometry

Enhances understanding of geometric flows in Sasakian manifolds

Abstract

This paper investigates the $C^\infty$-convergence of the Sasaki $J$-flow. The result is applied to prove a lower bound for the $K$-energy map in the Sasakian context.