2017/06/02 by Ram Shankar Gupta, Gupta, Ram Shankar, A. Sharfuddin +1
Mathematics 路 #53C40 #53C42 #53D12 #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
paper 路 pdf 路 doi:10.48550/arxiv.1706.00783
openalex publication_date 2017/06/02 路 openalex created_date 2025/10/10 路 openalex updated_date 2026/07/28
Our paper is an attempt to to verify the Chen's conjecture on biharmonic submanifolds and to classify biconservative submanifolds. In doing so we provide an affirmative answer to Chen's conjecture on biharmonic submanifolds. We prove that every biconservative Lorentz hypersurface M1n in 饾敿1n+1 having complex eigenvalues has constant mean curvature. Moreover, every biharmonic Lorentz hypersurface M1n having complex eigenvalues in 饾敿1n+1 must be minimal.