Abstract.
If \(L^n\) is a Lagrangian manifold immersed into a Kähler-Einstein manifold, nothing is known about its behavior under the mean curvature flow. As a first result we derive a Harnack inequality for the mean curvature potential of compact Lagrangian immersions \(L^n\) immersed into \({\Bbb R}^{2n}\).
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Received March 16, 1997 / Accepted April 24, 1998
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Smoczyk, K. Harnack inequality for the Lagrangian mean curvature flow. Calc Var 8, 247–258 (1999). https://doi.org/10.1007/s005260050125
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DOI: https://doi.org/10.1007/s005260050125
Keywords
- Curvature Flow
- Harnack Inequality
- Curvature Potential
- Lagrangian Manifold
- Lagrangian Immersion