naa a22 4500 510811132 CHVBK 20180411083443.0 cr unu---uuuuu 180411e20130401xx s 000 0 eng 10.1007/s12220-011-9252-6 doi (NATIONALLICENCE)springer-10.1007/s12220-011-9252-6 On Gradient Ricci Solitons [Elektronische Daten] [Ovidiu Munteanu, Natasa Sesum] In the first part of the paper we derive integral curvature estimates for complete gradient shrinking Ricci solitons. Our results and the recent work in M. Fernandez-Lopez and E. Garcia-Rio, Rigidity of shrinking Ricci solitons in Math. Z. (2011) classify complete gradient shrinking Ricci solitons with harmonic Weyl tensor. In the second part of the paper we address the issue of existence of harmonic functions on gradient shrinking Kähler and gradient steady Ricci solitons. Consequences to the structure of shrinking and steady solitons at infinity are also discussed. Mathematica Josephina, Inc., 2011 Ricci solitons nationallicence Harmonic functions nationallicence Munteanu Ovidiu Department of Mathematics, Columbia University, 10027, New York, NY, USA aut Sesum Natasa Department of Mathematics, University of Pennsylvania, 19104, Philadelphia, PA, USA aut Journal of Geometric Analysis Springer-Verlag 23/2(2013-04-01), 539-561 1050-6926 23:2<539 2013 23 12220 https://doi.org/10.1007/s12220-011-9252-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12220-011-9252-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Munteanu Ovidiu Department of Mathematics, Columbia University, 10027, New York, NY, USA aut NATIONALLICENCE 700 1- Sesum Natasa Department of Mathematics, University of Pennsylvania, 19104, Philadelphia, PA, USA aut NATIONALLICENCE 773 0- Journal of Geometric Analysis Springer-Verlag 23/2(2013-04-01), 539-561 1050-6926 23:2<539 2013 23 12220 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer