Abstract
We prove the existence of (branched) conformal immersions F:S2→R3 with mean curvature H>0 arbitrarily prescribed up to a 3-dimensional affine indeterminacy. A similar result is proved for the space forms S3, H3 and partial results for surfaces of higher genus.
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.
