Caleb Suan

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math.DG2025

Flows of conformally coclosed $G_{2}$ -structures with dilaton

Spiro Karigiannis, Sébastien Picard, Caleb Suan

We study flows of $G_{2}$ -structures guided by the principle of dimensional reduction: natural geometric flows in $G_{2}$ -geometry reduce to natural flows in complex geometry. Our main…

math.DG2024

Anomaly Flow: Shi-Type Estimates and Long-time Existence

Caleb Suan

We consider the long-time existence of the anomaly flow on a compact complex $3$ -fold with general slope parameter $α^{'}$ . In particular, we obtain integral Shi-type estimates for th…

math.DG2024

Laplacian coflows of $G_{2}$ -structures on contact Calabi--Yau 7-manifolds

Henrique N. Sá Earp, Julieth Saavedra, Caleb Suan

We explore three versions of the Laplacian coflow of $G_{2}$ -structures on circle fibrations over Calabi--Yau 3-folds, interpreting their dimensional reductions to the Kähler geometr…

Flows of conformally coclosed G2​-structures with dilaton

Anomaly Flow: Shi-Type Estimates and Long-time Existence

Laplacian coflows of G2​-structures on contact Calabi--Yau 7-manifolds

Flows of conformally coclosed $G_{2}$ -structures with dilaton

Laplacian coflows of $G_{2}$ -structures on contact Calabi--Yau 7-manifolds