Variational properties of functions of the mean curvatures for hypersurfaces in space forms

@article{Reilly1973VariationalPO,
title={Variational properties of functions of the mean curvatures for hypersurfaces in space forms},
author={R. Reilly},
journal={Journal of Differential Geometry},
year={1973},
volume={8},
pages={465-477}
}

M port function, and 2Q is the square of the length of the position vector. Many of our results could be derived from the theory in [13] but it appears that because we study a less general case here our methods are more elementary than those of [13]. We begin by deriving the formula for the first variation of our integral as well as the formula for the second variation in those cases (see above) studied