García-Río, EKupeli, DN2024-07-052024-07-05200110362-546X10.1016/S0362-546X(01)00420-5https://doi.org/10.1016/S0362-546X(01)00420-5https://hdl.handle.net/20.500.14411/1130Garcia-Rio, Eduardo/0000-0003-1195-1664A survey of divergence theorems in semi-Riemannian geometry is made. The generalization of a divergence theorem to vector fields along a map is given in semi-Riemannian geometry and an application of it is made in Riemannian geometry to obtain some sufficient conditions for a map to be harmonic.eninfo:eu-repo/semantics/closedAccesssemi-Riemannian manifolddivergence theoremLaplacian and divergence of a vector field along a mapharmonic mapclosed geodesicConference ObjectQ1Q247529953004WOS:000171595400010