Curve shortening flow and smooth projective planes
نویسندگان
چکیده
منابع مشابه
Smooth Projective Planes
Using symplectic topology and the Radon transform, we prove that smooth 4-dimensional projective planes are diffeomorphic to CP. We define the notion of a plane curve in a smooth projective plane, show that plane curves in high dimensional regular planes are lines, prove that homeomorphisms preserving plane curves are smooth collineations, and prove a variety of results analogous to the theory ...
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(i) If the (covering) dimension n of the point space ~ is finite, then ~ is a generalized manifold, and N has the same cohomology as one of the four classical point spaces P2 N, P2t~, P2]H or P2 O, and thus n e {2, 4, 8, 16}, cp. L6wen [111. This holds in particular, if the point rows and the pencils of lines are topological manifolds. In this case, the point rows and pencils of lines are n/2-s...
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ژورنال
عنوان ژورنال: Communications in Analysis and Geometry
سال: 2019
ISSN: 1019-8385,1944-9992
DOI: 10.4310/cag.2019.v27.n6.a4