A note on Kazdan-Warner-type identities


DOI: 10.1007/s12188-011-0051-6

Cite this article as:
Gao, X. Abh. Math. Semin. Univ. Hambg. (2011) 81: 79. doi:10.1007/s12188-011-0051-6


In this article we deal with f-conformal Killing vector fields, a generalization of conformal Killing vector fields involving a function f and two real parameters. Under certain conditions on f and the parameters, some non-existence results for such vector fields are proven. Moreover we derive a generalization of the Kazdan-Warner and Bourguignon-Ezin identities to the case of f-conformal Killing vector fields. Based on these, finally we present an application to the f-conformal solitons, a generalization of the Yamabe solitons.


Kazdan-Warner-type identity Conformal Killing vector field Soliton 

Mathematics Subject Classification (2000)

38G25 35P05 

Copyright information

© Mathematisches Seminar der Universität Hamburg and Springer 2011

Authors and Affiliations

  1. 1.Department of MathematicsEast China Normal UniversityShanghaiPeople’s Republic of China

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