caa a22 4500 44583708X CHVBK 20180317145333.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s00209-010-0745-y doi (NATIONALLICENCE)springer-10.1007/s00209-010-0745-y Rigidity of shrinking Ricci solitons [Elektronische Daten] [Manuel Fernández-López, Eduardo García-Río] We show that a compact Ricci soliton is rigid if and only if the Weyl conformal tensor is harmonic. In the complete noncompact case we prove the same result assuming that the curvature tensor has at most exponential growth and the Ricci tensor is bounded from below. Springer-Verlag, 2010 Gradient Ricci soliton nationallicence Rigid Ricci soliton nationallicence Harmonic Weyl tensor nationallicence Fernández-López Manuel Faculty of Mathematics, University of Santiago de Compostela, 15782, Santiago de Compostela, Spain aut García-Río Eduardo Faculty of Mathematics, University of Santiago de Compostela, 15782, Santiago de Compostela, Spain aut Mathematische Zeitschrift Springer-Verlag 269/1-2(2011-10-01), 461-466 0025-5874 269:1-2<461 2011 269 209 https://doi.org/10.1007/s00209-010-0745-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0745-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Fernández-López Manuel Faculty of Mathematics, University of Santiago de Compostela, 15782, Santiago de Compostela, Spain aut NATIONALLICENCE 700 1- García-Río Eduardo Faculty of Mathematics, University of Santiago de Compostela, 15782, Santiago de Compostela, Spain aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 269/1-2(2011-10-01), 461-466 0025-5874 269:1-2<461 2011 269 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer