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






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


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}


Linking options:
  • http://mi.mathnet.ru/eng/into517
  • http://mi.mathnet.ru/eng/into/v169/p75

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Itogi Nauki i Tekhniki. Seriya "Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory" Itogi Nauki i Tekhniki. Seriya "Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory"
    Number of views:
    This page:115
    Full text:18
    References:10

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020