caa a22 4500 475738578 CHVBK 20180406123453.0 cr unu---uuuuu 170329e20001001xx s 000 0 eng 10.1007/s002220000083 doi (NATIONALLICENCE)springer-10.1007/s002220000083 Compactification of a class of conformally flat 4-manifold [Elektronische Daten] [Sun-Yung A. Chang, Jie Qing, Paul C. Yang] Abstract. : In this paper we generalize Huber's result on complete surfaces of finite total curvature. For complete locally conformally flat 4-manifolds of positive scalar curvature with Q curvature integrable, where Q is a variant of the Chern-Gauss-Bonnet integrand; we first derive the Cohn-Vossen inequality. We then establish finiteness of the topology. This allows us to provide conformal compactification of such manifolds. Springer-Verlag Berlin Heidelberg, 2000 Chang Sun-Yung A. Department of Mathematics, Princeton University, Princeton, NJ 08544, USA¶(e-mail: chang@math.princeton.edu), US aut Qing Jie Department of Mathematics, University of California, Santa Cruz, Santa Cruz, CA 95064, USA (e-mail: qing@math.ucsc.edu), US aut Yang Paul C. Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA (e-mail: pyang@math.usc.edu), US aut https://doi.org/10.1007/s002220000083 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s002220000083 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chang Sun-Yung A. Department of Mathematics, Princeton University, Princeton, NJ 08544, USA¶(e-mail: chang@math.princeton.edu), US aut NATIONALLICENCE 700 1- Qing Jie Department of Mathematics, University of California, Santa Cruz, Santa Cruz, CA 95064, USA (e-mail: qing@math.ucsc.edu), US aut NATIONALLICENCE 700 1- Yang Paul C. Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA (e-mail: pyang@math.usc.edu), US aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer