Geodesic
An integral formula for hypersurfaces in space forms
Glasgow mathematical journal, Tome 37 (1995) no. 3, pp. 337-341

Voir la notice de l'article provenant de la source Cambridge University Press

Let be an n+ 1-dimensional, complete simply connected Riemannian manifold of constant sectional curvature c and We consider the function r(·) = d(·, P0) where d stands for the distance function in and we denote by grad r the gradient of The position vector (see [1]) with origin P0 is defined as where φ(r)equalsr, if c = 0, c< 0 or c <0 respectively. 
Vlachos, Theodoros. An integral formula for hypersurfaces in space forms. Glasgow mathematical journal, Tome 37 (1995) no. 3, pp. 337-341. doi: 10.1017/S001708950003161X
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