Add to ORKGWe consider surfaces embedded in a Riemannian manifold of arbitrary dimension and prove that many aspects of their differential geometry can be expressed in terms of a Poisson algebraic structure on the space of smooth functions of the surface. In particular, we find algebraic formulas for Weingarten's equations, the complex structure and the Gaussian curvature
In this dissertation, generically nondegenerate Poisson manifolds are studied by lifting them to a L...
AbstractThis paper is a survey of Poisson geometry, with an emphasis on global questions and the the...
We introduce C-Algebras (quantum analogues of compact Riemann surfaces), defined by polynomial relat...
We consider surfaces embedded in a Riemannian manifold of arbitrary dimension and prove that many as...
We prove that many aspects of the differential geometry of embedded Riemannian manifolds can be form...
We prove that many aspects of the differential geometry of embedded Riemannian manifolds can be form...
Abstract. Arnlind, Hoppe and Huisken showed in [1] how to express the Gauss and mean curvature of a ...
For matrix analogues of embedded surfaces we define discrete curvatures and Euler characteristics, a...
We introduce C-Algebras of compact Riemann surfaces $${\Sigma}$$ as non-commutative analogues of the...
We prove a quasi-Poisson bracket formula for the space of representations of the fundamental groupoi...
An embedded curve in a Poisson surface $\Sigma\subset X$ defines a smooth deformation space $\mathca...
We study the Poisson bracket invariant $pb$, which measures the level of Poisson noncommutativity of...
Using the Penner--Fock parameterization for Teichmuller spaces of Riemann surfaces with holes, we co...
This thesis is devoted to the study of holomorphic Poisson structures and Lie algebroids, and their ...
This paper is devoted to coregular submanifolds in Poisson geometry. We show that their local Poisso...
In this dissertation, generically nondegenerate Poisson manifolds are studied by lifting them to a L...
AbstractThis paper is a survey of Poisson geometry, with an emphasis on global questions and the the...
We introduce C-Algebras (quantum analogues of compact Riemann surfaces), defined by polynomial relat...
We consider surfaces embedded in a Riemannian manifold of arbitrary dimension and prove that many as...
We prove that many aspects of the differential geometry of embedded Riemannian manifolds can be form...
We prove that many aspects of the differential geometry of embedded Riemannian manifolds can be form...
Abstract. Arnlind, Hoppe and Huisken showed in [1] how to express the Gauss and mean curvature of a ...
For matrix analogues of embedded surfaces we define discrete curvatures and Euler characteristics, a...
We introduce C-Algebras of compact Riemann surfaces $${\Sigma}$$ as non-commutative analogues of the...
We prove a quasi-Poisson bracket formula for the space of representations of the fundamental groupoi...
An embedded curve in a Poisson surface $\Sigma\subset X$ defines a smooth deformation space $\mathca...
We study the Poisson bracket invariant $pb$, which measures the level of Poisson noncommutativity of...
Using the Penner--Fock parameterization for Teichmuller spaces of Riemann surfaces with holes, we co...
This thesis is devoted to the study of holomorphic Poisson structures and Lie algebroids, and their ...
This paper is devoted to coregular submanifolds in Poisson geometry. We show that their local Poisso...
In this dissertation, generically nondegenerate Poisson manifolds are studied by lifting them to a L...
AbstractThis paper is a survey of Poisson geometry, with an emphasis on global questions and the the...
We introduce C-Algebras (quantum analogues of compact Riemann surfaces), defined by polynomial relat...