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Parabolic complex Monge-Ampere equations on compact Kahler manifolds

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abstract

We study the long-time existence and convergence of general parabolic complex Monge-Ampere type equations whose second order operator is not necessarily convex or concave in the Hessian matrix of the unknown solution.

fields

math.DG 1

years

2025 1

verdicts

UNVERDICTED 1

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Flows of conformally coclosed $G_2$-structures with dilaton

math.DG · 2025-11-26 · unverdicted · novelty 6.0

The authors define a G2-anomaly flow that deforms conformally coclosed G2-structures, compare it to the G2-Laplacian coflow, and establish short-time existence along with fixed-point characterizations.

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  • Flows of conformally coclosed $G_2$-structures with dilaton math.DG · 2025-11-26 · unverdicted · none · ref 2 · internal anchor

    The authors define a G2-anomaly flow that deforms conformally coclosed G2-structures, compare it to the G2-Laplacian coflow, and establish short-time existence along with fixed-point characterizations.