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math.DG2007★ 11 cited
An optimal extension of Perelman's comparison theorem for quadrangles and its applications
Jianguo Cao, Bo Dai, Jiaqiang Mei
In this paper we discuss an extension of Perelman's comparison for quadrangles. Among applications of this new comparison theorem, we study the equidistance evolution of hypersurfa…
math.DG2007★ 8 cited
An extension of Perelman's soul theorem for singular spaces
Jianguo Cao, Bo Dai, Jiaqiang Mei
In this paper, we study open complete metric spaces with non-negative curvature. Among other things, we establish an extension of Perelman's soul theorem for possibly singular spac…