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- W2907673942 abstract "The aim of this paper is to study variational properties for $f$-minimal Lagrangian submanifolds in Kahler manifolds with real holomorphy potentials. Examples of submanifolds of this kind incuding soliton solutions for Lagrangian mean curvature flow (LMCF). We derive second variation formula for $f$-minimal Lagrangians as a generalization of Chen and Oh's formula for minimal Lagrangians. As a corollary, we obtain stability of expanding and translating solitons for LMCF. We also define calibrated submanifolds with respect to $f$-volume in gradient steady Kahler--Ricci solitons as generalizations of special Lagrangians and translating solitons for LMCF, and show that these submanifolds are necessarily noncompact. As a special case, we study the exact deformation vector fields on Lagrangian translators. Finally we discuss some generalizations and related problems." @default.
- W2907673942 created "2019-01-11" @default.
- W2907673942 creator A5055006828 @default.
- W2907673942 date "2019-01-01" @default.
- W2907673942 modified "2023-10-14" @default.
- W2907673942 title "$f$-minimal Lagrangian Submanifolds in Kahler Manifolds with Real Holomorphy Potentials" @default.
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- W2907673942 doi "https://doi.org/10.48550/arxiv.1901.00259" @default.
- W2907673942 hasPublicationYear "2019" @default.
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