Manifolds with strong harmonic boundaries but without Green's functions of clamped bodies
Maps of manifolds with indefinite metrics preserving certain geometrical entities.
Maximal tubes under the deformations of 3-dimensional hyperbolic cone-manifolds.
Mean and scalar curvature homogeneous Riemannian manifolds.
Mean curvature and shape operator of slant immersions in a Sasakian space form.
Métriques d'Einstein à cusps et équations de Seiberg-Witten.
Métriques d'Einstein-Kähler sur les variétés de Fano : obstructions et existence
Minimal dimensions for flat manifolds with prescribed holonomy.
Minimal Reeb vector fields on almost Kenmotsu manifolds
A necessary and sufficient condition for the Reeb vector field of a three dimensional non-Kenmotsu almost Kenmotsu manifold to be minimal is obtained. Using this result, we obtain some classifications of some types of -almost Kenmotsu manifolds. Also, we give some characterizations of the minimality of the Reeb vector fields of -almost Kenmotsu manifolds. In addition, we prove that the Reeb vector field of an almost Kenmotsu manifold with conformal Reeb foliation is minimal.
Minimal slant submanifolds of the smallest dimension in S-manifolds.
We study slant submanifolds of S-manifolds with the smallest dimension, specially minimal submanifolds and establish some relations between them and anti-invariant submanifolds in S-manifolds, similar to those ones proved by B.-Y. Chen for slant surfaces and totally real surfaces in Kaehler manifolds.
Mixed 3-Sasakian structures and curvature
We deal with two classes of mixed metric 3-structures, namely the mixed 3-Sasakian structures and the mixed metric 3-contact structures. First, we study some properties of the curvature of mixed 3-Sasakian structures. Then we prove the identity between the class of mixed 3-Sasakian structures and the class of mixed metric 3-contact structures.
Monopole metrics and the orbifold Yamabe problem
We consider the self-dual conformal classes on discovered by LeBrun. These depend upon a choice of points in hyperbolic -space, called monopole points. We investigate the limiting behavior of various constant scalar curvature metrics in these conformal classes as the points approach each other, or as the points tend to the boundary of hyperbolic space. There is a close connection to the orbifold Yamabe problem, which we show is not always solvable (in contrast to the case of compact manifolds)....