RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz.: Year: Volume: Issue: Page: Find

 Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 2019, Volume 169, Pages 75–87 (Mi into517)

From harmonic mappings to Ricci flows due to the Bochner technique

I. A. Aleksandrovaa, S. E. Stepanovab, I. I. Tsyganoka

a Financial University under the Government of the Russian Federation, Moscow
b All-Russian Institute for Scientific and Technical Information of Russian Academy of Sciences

Abstract: The present paper is devoted to the study a global aspect of the geometry of harmonic mappings and, in particular, infinitesimal harmonic transformations, and represents the application of our results to the theory of Ricci solitons. These results will be obtained using the methods of Geometric analysis and, in particular, due to theorems of Yau, Li and Schoen on the connections between the geometry of a complete smooth manifold and the global behavior of its subharmonic functions.

Keywords: harmonic mapping, Ricci flow, Ricci soliton, Bochner technique, subharmonic function

DOI: https://doi.org/10.36535/0233-6723-2019-169-75-87

Full text: PDF file (254 kB)
References: PDF file   HTML file

UDC: 514.764.2
MSC: 53C20; 53C43; 53C44

Citation: I. A. Aleksandrova, S. E. Stepanov, I. I. Tsyganok, “From harmonic mappings to Ricci flows due to the Bochner technique”, Proceedings   of the International Conference "Geometric Methods in Control Theory and Mathematical Physics" dedicated to the 70th anniversary of S.L. Atanasyan, the 70th anniversary of I.S. Krasilshchik, the 70th anniversary of A.V. Samokhin, and the 80th anniversary of V.T. Fomenko. S.A. Esenin Ryazan State University, Ryazan, September 25–28, 2018. Part 2, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 169, VINITI, Moscow, 2019, 75–87

Citation in format AMSBIB
\Bibitem{AleSteTsy19} \by I.~A.~Aleksandrova, S.~E.~Stepanov, I.~I.~Tsyganok \paper From harmonic mappings to Ricci flows due to the Bochner technique \inbook Proceedings   of the International Conference "Geometric Methods in Control Theory and Mathematical Physics" dedicated to the 70th anniversary of S.L. Atanasyan, the 70th anniversary of I.S. Krasilshchik, the 70th anniversary of A.V. Samokhin, and the 80th anniversary of V.T. Fomenko. S.A. Esenin Ryazan State University, Ryazan, September 25--28, 2018. Part 2 \serial Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz. \yr 2019 \vol 169 \pages 75--87 \publ VINITI \publaddr Moscow \mathnet{http://mi.mathnet.ru/into517} \crossref{https://doi.org/10.36535/0233-6723-2019-169-75-87}