Abstract
A Riemannian manifold (M,∂M,g,f) is called a gradient conformal mean curvature soliton if a smooth function f satisfies(0.1){(λ−Hg)g=∇2fand∂f∂νg=0,on ∂M;Rg=0,inM, where ∇2f is the Hessian of f with respect to the metric induced by g on ∂M and νg is the outward unit normal vector with respect to metric g. In this study, we classified nontrivial complete gradient conformal mean curvature solitons.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
