De Rham Decomposition of Affinely connected manifolds.
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.
De Rham-Hodge Theory for Riemannian Foliations.
Decomposition theorems in differential geometry.
Deforming metrics of foliations
Let M be a Riemannian manifold equipped with two complementary orthogonal distributions D and D ⊥. We introduce the conformal flow of the metric restricted to D with the speed proportional to the divergence of the mean curvature vector H, and study the question: When the metrics converge to one for which D enjoys a given geometric property, e.g., is harmonic, or totally geodesic? Our main observation is that this flow is equivalent to the heat flow of the 1-form dual to H, provided the initial 1-form...
Deux remarques sur les flots riemanniens.
Differential Geometry of Real Monge-Ampère Foliations.
Dipolarizations in semisimple Lie algebras and homogeneous parakähler manifolds.
Dualité symplectique, feuillitages et géometrie du moment.
One gives the links between the notions of singular foliations, Γ-structures and momentum mapping in the context of symplectic geometry.
Duality and minimality in Riemannian foliations.