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作者：Bera, Sayani; Verma, Kaushal
作者单位：Department of Science & Technology (India); Indian Association for the Cultivation of Science (IACS) - Jadavpur; Indian Institute of Science (IISC) - Bangalore
摘要：It has been conjectured that every stable manifold arising from a holomorphic automorphism, that acts hyperbolically on a compact invariant set, is biholomorphic to complex Euclidean space. Such stable manifolds are known to be biholomorphic to the basin of a uniformly attracting family of holomorphic maps. It is shown that the basin of a uniformly attracting family of holomorphic maps is biholomorphic to complex Euclidean space and this resolves the conjecture on the biholomorphism type of su...
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作者：Azagra, Daniel; Drake, Marjorie; Hajlasz, Piotr
作者单位：Complutense University of Madrid; Massachusetts Institute of Technology (MIT); Pennsylvania Commonwealth System of Higher Education (PCSHE); University of Pittsburgh
摘要：We prove that if u : R-n -> R strongly convex, then for every epsilon>0 there is a strongly convex function v is an element of C-2(Rn) such that |{u not equal v}|
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作者：Appel, Andrea; Toledano Laredo, Valerio
作者单位：University of Parma; Istituto Nazionale di Fisica Nucleare (INFN); Northeastern University
摘要：Let g\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathfrak {g}$\end{document} be a symmetrisable Kac-Moody algebra and V\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\odd...
