【摘 要】
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In this talk we study Finsler submanifold theory from viewpoint of Chern connection.We introduce the notions of the second fundamental form and mean curvatu
【机 构】
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Minjianguniversity,P.R.China
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In this talk we study Finsler submanifold theory from viewpoint of Chern connection.We introduce the notions of the second fundamental form and mean curvature for Finsler submanifolds,and establish the fundamental equations by means of moving frame for the hypersurface case.We provide the estimation of image radius for compact submanifolds,and prove that there exists no compact minimal submanifold in any complete noncompact and simply connected Finsler manifold with nonpositive flag curvature.We also characterize the Minkowski hyperplanes,Minkowski hyperspheres and Minkowski cylinders as the only hypersurfaces in Minkowski space with parallel second fundamental form.
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