A new curvature invariant and entropy of geodesic flow.
A new definition of the circle by the use of bisectors
A new example of compact Riemannian manifold with structure group Spin(7)
A new geometric invariant associated to the space of flat connections
A new look at Finsler connections and special Finsler manifolds.
A new model of unimodular-affinely homogeneous surfaces.
A new obstruction to embedding Lagrangian tori.
A new obstruction to minimal isometric immersions into a real space form.
A new proof of Szabó's theorem on the Riemann-metrizability of Berwald manifolds.
A new proof of the existence of hierarchies of Poisson-Nijenhuis structures.
A new proof of the existence of Kähler-Einstein metrics on A3, II.
A new proof of the existence of Kähler-Einstein metrics on K3, I.
A new proof of the Riemann-Poincaré uniformization theorem.
A new variational characterization of compact conformally flat 4-manifolds
In this paper, we give a new variational characterization of certain 4-manifolds. More precisely, let and denote the scalar curvature and Ricci curvature respectively of a Riemannian metric, we prove that if is compact and locally conformally flat and is the critical point of the functional where
A new version of differentiable sphere theorem.
A non-existence theorem for stable constant mena curvature hypersurfaces.
A non-homogeneous, symmetric contact projective structure
We construct a non-homogeneous contact projective structure which is symmetric from the point of view of parabolic geometries.
A non-immersion theorem for hyperbolic manifolds.
A non-immersion theorem for spaceforms.
A nonlinear Poisson transform for Einstein metrics on product spaces
We consider the Einstein deformations of the reducible rank two symmetric spaces of noncompact type. If is the product of any two real, complex, quaternionic or octonionic hyperbolic spaces, we prove that the family of nearby Einstein metrics is parametrized by certain new geometric structures on the Furstenberg boundary of .