It is the branch of differential geometry that studies Riemannian manifolds, smooth manifolds with a Riemannian metric, i.e. with an inner product on the tangent space at each point that varies smoothly from point to points
Related journals of Riemannian Geometry
Journal of Statistical Mechanics , Theory and Experiment, Journal of Computational Physics , International Journal of Geometric Methods in Modern Physics Groups, Geometry and Dynamics , Advances in Applied Clifford Algebras
Physical Mathematics received 686 citations as per Google Scholar report