Operatorron a submanifold of Riemannianmanifold and its applications

Author(s)

Operatorron a submanifold of Riemannianmanifold and its applications Shunzi Guo

The paper generalizes the self-adjoint differentialoperatoron hypersurfaces of a constant curvature manifoldto submanifolds, introduced by Cheng-Yau. Using the series ofsuch operators, a new way to prove Minkowski-Hsiung integralformula is given and some integral formulas for compact subman-ifolds is derived. An application to a hypersurface of a Rieman-nian manifold with harmonic Riemannian curvature is presented.

DOI: https://armjmath.sci.am/index.php/ajm/article/view/108 Armenian Journal of Mathematics, 7(1) 6-31

Download PDF

Keywords

Newton tensor, operator, submanifold, hypersurface, Codazzitensor

Check for updates

Share

Contact admin with any questions, comments or concerns

[email protected]