Minimal surfaces in a unit sphere pinched by intrinsic curvature and normal curvature
نویسندگان
چکیده
منابع مشابه
Ricci curvature, minimal surfaces and sphere theorems
Using an analogue of Myers’ theorem for minimal surfaces and three dimensional topology, we prove the diameter sphere theorem for Ricci curvature in dimension three and a corresponding eigenvalue pinching theorem. This settles these two problems for closed manifolds with positive Ricci curvature since they are both false in dimensions greater than three. §
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ژورنال
عنوان ژورنال: Science China Mathematics
سال: 2018
ISSN: 1674-7283,1869-1862
DOI: 10.1007/s11425-017-9220-0