We construct a canonically defined affine connection in sub-Riemannian contact geometry. Our method mimics that of the Levi-Civita connection in Riemannian geometry. We compare it with the Tanaka-Webster connection in the three-dimensional case.Michael Eastwood and Katharina Neusse
Pseudo-Riemannian geometry is, to a large extent, the study of the Levi-Civita connection, which is ...
We find necessary and sufficient conditions for the bi-Legendrian connection \nabla associated to a ...
We construct a three-parameter family of contact metric structures on the unit tangent sphere bundle...
summary:We construct a canonically defined affine connection in sub-Riemannian contact geometry. Our...
summary:We construct a canonically defined affine connection in sub-Riemannian contact geometry. Our...
summary:We construct a canonically defined affine connection in sub-Riemannian contact geometry. Our...
Abstract. For a sub-Riemannian manifold and a given Riemannian exten-sion of the metric, we define a...
We compare different notions of curvature on contact sub-Riemannian manifolds. In particular we int...
We compare different notions of curvature on contact sub-Riemannian manifolds. In particular, we int...
We study the Riemannian geometry of contact manifolds with respect to a fixed admissible metric, mak...
We study the Riemannian geometry of contact manifolds with respect to a fixed admissible metric, mak...
summary:In sub-Riemannian geometry the coefficients of the Jacobi equation define curvature-like inv...
summary:In sub-Riemannian geometry the coefficients of the Jacobi equation define curvature-like inv...
summary:In sub-Riemannian geometry the coefficients of the Jacobi equation define curvature-like inv...
AbstractWe construct some natural metric connections on metric contact manifolds compatible with the...
Pseudo-Riemannian geometry is, to a large extent, the study of the Levi-Civita connection, which is ...
We find necessary and sufficient conditions for the bi-Legendrian connection \nabla associated to a ...
We construct a three-parameter family of contact metric structures on the unit tangent sphere bundle...
summary:We construct a canonically defined affine connection in sub-Riemannian contact geometry. Our...
summary:We construct a canonically defined affine connection in sub-Riemannian contact geometry. Our...
summary:We construct a canonically defined affine connection in sub-Riemannian contact geometry. Our...
Abstract. For a sub-Riemannian manifold and a given Riemannian exten-sion of the metric, we define a...
We compare different notions of curvature on contact sub-Riemannian manifolds. In particular we int...
We compare different notions of curvature on contact sub-Riemannian manifolds. In particular, we int...
We study the Riemannian geometry of contact manifolds with respect to a fixed admissible metric, mak...
We study the Riemannian geometry of contact manifolds with respect to a fixed admissible metric, mak...
summary:In sub-Riemannian geometry the coefficients of the Jacobi equation define curvature-like inv...
summary:In sub-Riemannian geometry the coefficients of the Jacobi equation define curvature-like inv...
summary:In sub-Riemannian geometry the coefficients of the Jacobi equation define curvature-like inv...
AbstractWe construct some natural metric connections on metric contact manifolds compatible with the...
Pseudo-Riemannian geometry is, to a large extent, the study of the Levi-Civita connection, which is ...
We find necessary and sufficient conditions for the bi-Legendrian connection \nabla associated to a ...
We construct a three-parameter family of contact metric structures on the unit tangent sphere bundle...
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