naa a22 4500 510810322 CHVBK 20180411083439.0 cr unu---uuuuu 180411e20130101xx s 000 0 eng 10.1007/s12220-011-9237-5 doi (NATIONALLICENCE)springer-10.1007/s12220-011-9237-5 Williams Michael Department of Mathematics, The University of Texas at Austin, Austin, TX, USA aut Explicit Ricci Solitons on Nilpotent Lie Groups [Elektronische Daten] [Michael Williams] The primary purpose of this paper is to obtain explicit, coordinate-based descriptions of Ricci flow solutions—especially those corresponding to Ricci solitons—on two classes of nilpotent Lie groups. On the odd-dimensional classical Heisenberg groups, we determine the asymptotics of Ricci flow starting at any metric, and use Lott's blowdown method to demonstrate convergence to soliton metrics. On the groups of real unitriangular matrices, which are more complicated, we describe the solitons and corresponding solutions using a suitable ansatz. Mathematica Josephina, Inc., 2011 Ricci flow nationallicence Ricci soliton nationallicence Nilpotent Lie group nationallicence Heisenberg group nationallicence Unitriangular group nationallicence Journal of Geometric Analysis Springer-Verlag 23/1(2013-01-01), 47-72 1050-6926 23:1<47 2013 23 12220 https://doi.org/10.1007/s12220-011-9237-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12220-011-9237-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Williams Michael Department of Mathematics, The University of Texas at Austin, Austin, TX, USA aut NATIONALLICENCE 773 0- Journal of Geometric Analysis Springer-Verlag 23/1(2013-01-01), 47-72 1050-6926 23:1<47 2013 23 12220 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer