Abstract
In this paper we consider the notion of ξ-invariant or (equation omitted)-invariant real hypersurfaces in a complex two-plane Grassmannian <TEX>$G_2$</TEX>( <TEX>$C^{m+2}$</TEX>) and prove that there do not exist such kinds of real hypersurfaces in <TEX>$G_2$</TEX>( <TEX>$C^{m+2}$</TEX>) with parallel second fundamental tensor on a distribution ζ defined by ζ = ξ U(equation omitted), where(equation omitted) = Span ｛ξ<TEX>$_1$</TEX>, ξ<TEX>$_2$</TEX>, ξ<TEX>$_3$</TEX>｝.X>｝.
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.
