Abstract
Let \(M^{2n} \) be a compact Riemannian manifold of non-positive sectional curvature. It is shown that if \(M^{2n}\) is homeomorphic to a Kahler manifold, then its Euler number satisfies the inequality \( (-1)^n \chi(M^{2n})\geq 0\).
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.