A note on Kazdan-Warner-type identities
- First Online:
- 158 Downloads
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.
KeywordsKazdan-Warner-type identity Conformal Killing vector field Soliton
Mathematics Subject Classification (2000)38G25 35P05
Unable to display preview. Download preview PDF.
- 1.Peter, P.: Riemannian Geometry. Graduate Texts in Mathematics, vol. 171. Springer, New York (1998) Google Scholar
- 2.Chow, B., Lu, P., Ni, L.: Hamilton’s Ricci Flow. Lectures in Contemporary Mathematics, vol. 3, Science Press and Graduate Studies in Mathematics, vol. 77. American Mathematical Society (co-publication) (2006) Google Scholar