Uniqueness of conformal metrics with prescribed scalar and mean curvatures on compact manifolds with boundary.
Uniqueness of Kähler-Einstein cone metrics.
The purpose of this paper is to describe a method to construct a Kähler metric with cone singularity along a divisor and to illustrate a type of maximum principle for these incomplete metrics by showing that Kähler-Einstein metrics are unique in geometric Hölder spaces.
Uniqueness of minimal surfaces in Euclidean and hyperbolic 3-space.
Uniqueness of motion by mean curvature perturbed by stochastic noise
Uniqueness of nonnegative solutions of the Cauchy problem for parabolic equations on manifolds or domains
Uniqueness of the stereographic embedding
The standard conformal compactification of Euclidean space is the round sphere. We use conformal geodesics to give an elementary proof that this is the only possible conformal compactification.
Uniqueness of timelike killing vector fields
Uniqueness of weak solutions to a Keller-Segel-Navier-Stokes model with a logistic source
We prove a uniqueness result of weak solutions to the Cauchy problem of a Keller-Segel-Navier-Stokes system with a logistic term.
Uniqueness results for the Minkowski problem extended to hedgehogs
The classical Minkowski problem has a natural extension to hedgehogs, that is to Minkowski differences of closed convex hypersurfaces. This extended Minkowski problem is much more difficult since it essentially boils down to the question of solutions of certain Monge-Ampère equations of mixed type on the unit sphere of ℝn+1. In this paper, we mainly consider the uniqueness question and give first results.
Uniqueness theorems for some open and closed surfaces in three-space
Uniqueness Theorems of Kähler Metrics of Semipositive Bisectional Curvature on Compact Hermitian Symetric Spaces.
Uniruled projective manifolds with irreducible reductive G-structures.
Unit tangent sphere bundles with constant scalar curvature
As a first step in the search for curvature homogeneous unit tangent sphere bundles we derive necessary and sufficient conditions for a manifold to have a unit tangent sphere bundle with constant scalar curvature. We give complete classifications for low dimensions and for conformally flat manifolds. Further, we determine when the unit tangent sphere bundle is Einstein or Ricci-parallel.
Unit vector fields on antipodally punctured spheres: big index, big volume
We establish in this paper a lower bound for the volume of a unit vector field defined on , . This lower bound is related to the sum of the absolute values of the indices of at and .
Unitary spectum and the fundamental group for actions of semisimple Lie groups.
Univalency of harmonic mappings between surfaces.
Univalent mappings of the plane into itself
Universal bounds for eigenvalues of Schrödinger operators on Riemannian manifolds.
Universal Connections.
Universal connections on Lie groupoids.