Some Lower Bounds for the Area of Surfaces.
De Rham decomposition theorems for foliated manifolds
We prove that if is a complete simply connected Riemannian manifold and is a totally geodesic foliation of with integrable normal bundle, then is topologically a product and the two foliations are the product foliations. We also prove a decomposition theorem for Riemannian foliations and a structure theorem for Riemannian foliations with recurrent curvature.
Heterogeneous Riemannian manifolds.
Geodesics and deformed pseudo-Riemannian manifolds with symmetry.
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