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- W4300176103 abstract "We show that the properties of Lagrangian mean curvature flow are a special case of a more general phenomenon, concerning couplings between geometric flows of the ambient space and of totally real submanifolds. Both flows are driven by ambient Ricci curvature or, in the non-Kahler case, by its analogues. To this end we explore the geometry of totally real submanifolds, defining (i) a new geometric flow in terms of the ambient canonical bundle, (ii) a modified volume functional which takes into account the totally real condition. We discuss short-time existence for our flow and show it couples well with the Streets-Tian symplectic curvature flow for almost Kahler manifolds. We also discuss possible applications to Lagrangian submanifolds and calibrated geometry." @default.
- W4300176103 created "2022-10-03" @default.
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- W4300176103 date "2014-04-16" @default.
- W4300176103 modified "2023-09-27" @default.
- W4300176103 title "From Lagrangian to totally real geometry: coupled flows and calibrations" @default.
- W4300176103 doi "https://doi.org/10.48550/arxiv.1404.4227" @default.
- W4300176103 hasPublicationYear "2014" @default.
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