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 gardient estimate for graphs of prescribed mean curvature.
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 .
A Non-Probabilistic Proof of the Assouad Embedding Theorem with Bounds on the Dimension
We give a non-probabilistic proof of a theorem of Naor and Neiman that asserts that if (E, d) is a doubling metric space, there is an integer N > 0, depending only on the metric doubling constant, such that for each exponent α ∈ (1/2; 1), one can find a bilipschitz mapping F = (E; dα ) ⃗ ℝ RN.
A non-standard approach to the Euclidean study of plane curves.
A nonstandard characterization of regular surfaces.
A nonstandard-analysis characterization of submanifolds in Euclidean space.
A normal form for curves in Grassmannians.