6533b85ffe1ef96bd12c1051

RESEARCH PRODUCT

Compact Hopf hypersurfaces of constant mean curvature in complex space forms

Vicente Miquel

subject

Mean curvatureGeodesicGeodesic domeMathematical analysislaw.inventionHypersurfaceComplex spaceDifferential geometrylawMathematics::Differential GeometryGeometry and TopologyBall (mathematics)AnalysisMathematics

description

We prove that every connected compact Hopf hypersurface of a complex space form , contained in a geodesic ball of radius strictly smaller than the injectivity radius of , having constant mean curvature and with if if λ < 0 is a geodesic sphere of .

https://doi.org/10.1007/bf02108298