Add to ORKGUnder suitable conditions, we show that the Euler characteristic of a foliated Riemannian manifold can be computed only from curvature invariants which are transverse to the leaves. Our proof uses the hypoelliptic sub-Laplacian on forms recently introduced by two of the authors in Baudoin and Grong (Ann Glob Anal Geom 56(2):403–428, 2019)
In this paper some results of the authors on geometry of foliated manifolds are stated and results o...
By BERND M ¨UMKEN Abstract. We prove Künneth formula, Poincare ́ duality, Hopf formula and index th...
We consider a totally geodesic foliation of a Lorentzian manifold. In Section 2, we give some defini...
Under suitable conditions, we show that the Euler characteristic of a foliated Riemannian manifold c...
Many interesting hypoelliptic diffusion operators may be studied by introducing a well-chosen Rieman...
We prove that every closed, smooth n-manifold X admits a Riemannian metric together with a smooth, t...
We discover following analytic / geometric properties on Riemannian foliations with bundle-like metr...
We introduce horizontal holonomy groups, which are groups defined using parallel transport only alon...
We find necessary and sufficient conditions for the foliation defined by level sets of a function f(...
Given a Riemannian foliation ${\cal F}$ on a Riemannian manifold M with a bundle-like metric, geomet...
In recent years, there have been several studies of foliations from differential geometric aspects. ...
We show that a codimension-one minimal foliation with growth at most 2 of a complete Riemannian mani...
Let $(X_0,\mathcal{F}_0) $ be a compact manifold with boundary endowed with a foliation $\mathcal{F}...
We find necessary and sufficient conditions for the foliation defined by level sets of a function f(...
We revisit the Allendoerfer–Weil formula for the Euler characteristic of embedded hypersurfaces in c...
In this paper some results of the authors on geometry of foliated manifolds are stated and results o...
By BERND M ¨UMKEN Abstract. We prove Künneth formula, Poincare ́ duality, Hopf formula and index th...
We consider a totally geodesic foliation of a Lorentzian manifold. In Section 2, we give some defini...
Under suitable conditions, we show that the Euler characteristic of a foliated Riemannian manifold c...
Many interesting hypoelliptic diffusion operators may be studied by introducing a well-chosen Rieman...
We prove that every closed, smooth n-manifold X admits a Riemannian metric together with a smooth, t...
We discover following analytic / geometric properties on Riemannian foliations with bundle-like metr...
We introduce horizontal holonomy groups, which are groups defined using parallel transport only alon...
We find necessary and sufficient conditions for the foliation defined by level sets of a function f(...
Given a Riemannian foliation ${\cal F}$ on a Riemannian manifold M with a bundle-like metric, geomet...
In recent years, there have been several studies of foliations from differential geometric aspects. ...
We show that a codimension-one minimal foliation with growth at most 2 of a complete Riemannian mani...
Let $(X_0,\mathcal{F}_0) $ be a compact manifold with boundary endowed with a foliation $\mathcal{F}...
We find necessary and sufficient conditions for the foliation defined by level sets of a function f(...
We revisit the Allendoerfer–Weil formula for the Euler characteristic of embedded hypersurfaces in c...
In this paper some results of the authors on geometry of foliated manifolds are stated and results o...
By BERND M ¨UMKEN Abstract. We prove Künneth formula, Poincare ́ duality, Hopf formula and index th...
We consider a totally geodesic foliation of a Lorentzian manifold. In Section 2, we give some defini...