S. E. Stepanov, J. Mikeš, I. I. Tsyganok, “Generalized Bochner technique and its application to the study of projective and conformal mappings”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2023, Volume 223,Pages <nobr>112

Generalized Bochner technique and its application to the study of projective and conformal mappings

S. E. Stepanov^ab, J. Mikeš^c, I. I. Tsyganok^a

^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

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.

UDC: 514.76

MSC: 53C20

DOI: 10.36535/0233-6723-2023-223-112-122