Abstract
Consider a non-degenerate open convex cone C with vertex the origin in the <TEX>$n$</TEX>2-dimensional Euclidean space <TEX>$E^n$</TEX>. We study volume properties of strictly convex hypersurfaces in the cone C. As a result, for example, if the volume of the region of an elliptic cone C cut off by the tangent hyperplane P of M at <TEX>$p$</TEX> is independent of the point <TEX>$p{\in}M$</TEX>, then it is shown that the hypersurface M is part of an elliptic hyperboloid.
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.
