Abstract
It is shown that if the rank of the second fundamental form (resp. the Levi form) of a C2-smooth convex hypersurface M in Rn+1 (resp. Cn+1) does not exceed an integer constant k<n near a point p∈M, then through any point q∈M near p there exists a real (resp. complex) (n−k)-dimensional plane that locally lies on M.
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.
