Abstract
Let a>b>0 and Ba∖Bb={x=(x1,x2)∈R2:b<|x|<a}, and assume that f is a conformal map from Ba∖Bb into Rn, with |∇f|2=2e2u, then (e1,e2) with e1=e−u∂f∂r, and e2=r−1e−u∂f∂θ is a moving frame on f(Ba∖Bb) and it satisfies the following equationd⋆〈de1,e2〉=0, where ⋆ is the Hodge star operator on R2 with respect to the standard metric.We will study the Dirichlet energy of this frame and give some applications.
Sign-in/Register to access full text options 
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.
