The moduli space of two-convex embedded spheres
نویسندگان
چکیده
We prove that the moduli space of 2-convex embedded n-spheres in R^{n+1} is path-connected for every n. Our proof uses mean curvature flow with surgery and can be seen as an extrinsic analog to Marques' influential path-connectedness positive scalar metics on three-manifolds.
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 2021
ISSN: ['1945-743X', '0022-040X']
DOI: https://doi.org/10.4310/jdg/1622743139