Nonnegatively curved quotient spaces with boundary
نویسندگان
چکیده
منابع مشابه
TOPOLOGY OF NONNEGATIVELY CURVED HYPERSURFACES WITH PRESCRIBED BOUNDARY IN Rn
We prove that a smooth compact immersed submanifold of codimension 2 in R, n ≥ 3, bounds at most finitely many topologically distinct compact nonnegatively curved hypersurfaces. Analogous results for noncompact fillings are obtained as well. On the other hand, we show that these topological finiteness theorems may not hold if the prescribed boundary is not sufficiently regular, e.g., C. In part...
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ژورنال
عنوان ژورنال: Boletín de la Sociedad Matemática Mexicana
سال: 2019
ISSN: 1405-213X,2296-4495
DOI: 10.1007/s40590-019-00247-1