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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 223, Pages 112–122
DOI: https://doi.org/10.36535/0233-6723-2023-223-112-122 (Mi into1160) 		 
Generalized Bochner technique and its application to the study of projective and conformal mappings

S. E. Stepanovab, J. Mikešc, 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, Moscow
c Palacký University Olomouc
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DOI: https://doi.org/10.36535/0233-6723-2023-223-112-122
Abstract: In this paper, we consider the generalized Bochner technique, which is a natural development of the classical Bochner technique. As an illustration, we prove some vanishing theorems on Ricci solitons, conformal and projective mappings of complete Riemannian manifolds.
Keywords: Bochner technique, complete Riemannian manifold, vanishing theorem, Ricci soliton, conformal mapping, projective mapping.
Funding agency Grant number
Univerzita Palackého v Olomouci IGA PrF 2022017
The work was supported by the grant “Algebraic and Geometric Structures” of the Palacky University (project IGA PrF 2022017).
Document Type: Article
UDC: 514.76
MSC: 53C20
Language: Russian
Citation: S. E. Stepanov, J. Mikeš, I. I. Tsyganok, “Generalized Bochner technique and its application to the study of projective and conformal mappings”, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 4, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 223, VINITI, Moscow, 2023, 112–122
Citation in format AMSBIB
\Bibitem{SteMikTsy23}
\by S.~E.~Stepanov, J.~Mike{\v s}, I.~I.~Tsyganok
\paper Generalized Bochner technique and its application to the study of projective and conformal mappings
\inbook Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 4
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 223
\pages 112--122
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1160}
\crossref{https://doi.org/10.36535/0233-6723-2023-223-112-122}
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