Add to ORKGAbstract. Arnlind, Hoppe and Huisken showed in [1] how to express the Gauss and mean curvature of a surface embedded in a Riemannian manifold in terms of Poisson brackets of the embedding coordinates. We generalize these expressions to the pseudo-Riemannian setting and derive explicit formulas for the case of surfaces embedded in Rm with indefinite metric. 1
. The movement of the Poincar'e metrics of open Riemann surfaces belonging to an analytic famil...
For matrix analogues of embedded surfaces we define discrete curvatures and Euler characteristics, a...
We investigate the systems of quasi-linear partial differential equations of hydrody- namic type. Th...
We consider surfaces embedded in a Riemannian manifold of arbitrary dimension and prove that many as...
Abstract. We prove a quasi-Poisson bracket formula for the space of rep-resentations of the fundamen...
An embedded curve in a Poisson surface $\Sigma\subset X$ defines a smooth deformation space $\mathca...
We use a Riemannnian approximation scheme to define a notion of intrinsic Gaussian curvature for a E...
We use a Riemannnian approximation scheme to define a notion of intrinsic Gaussian curvature for a E...
Abstract. Embedded minimal surfaces of finite total curvature in R3 are reasonably well understood: ...
In this note, we give a short survey on the global isometric embedding of surfaces (2-dimensional Ri...
ABSTRACT: Let (Si, gi), i = 1, 2 be two compact riemannian surfaces isometrically embedded in euclid...
We consider harmonic immersions in $\mathbb{R}^d$ of compact Riemann surfaces with finitely many pun...
© 2017, Springer Science+Business Media Dordrecht. We give a complete classification of Riemannian a...
In this thesis, we study "degenerate" (or "null") submanifolds of pseudo-riemannian manifolds, for w...
We study the translation surfaces in the pseudo–Galilean space with the condition that one of genera...
. The movement of the Poincar'e metrics of open Riemann surfaces belonging to an analytic famil...
For matrix analogues of embedded surfaces we define discrete curvatures and Euler characteristics, a...
We investigate the systems of quasi-linear partial differential equations of hydrody- namic type. Th...
We consider surfaces embedded in a Riemannian manifold of arbitrary dimension and prove that many as...
Abstract. We prove a quasi-Poisson bracket formula for the space of rep-resentations of the fundamen...
An embedded curve in a Poisson surface $\Sigma\subset X$ defines a smooth deformation space $\mathca...
We use a Riemannnian approximation scheme to define a notion of intrinsic Gaussian curvature for a E...
We use a Riemannnian approximation scheme to define a notion of intrinsic Gaussian curvature for a E...
Abstract. Embedded minimal surfaces of finite total curvature in R3 are reasonably well understood: ...
In this note, we give a short survey on the global isometric embedding of surfaces (2-dimensional Ri...
ABSTRACT: Let (Si, gi), i = 1, 2 be two compact riemannian surfaces isometrically embedded in euclid...
We consider harmonic immersions in $\mathbb{R}^d$ of compact Riemann surfaces with finitely many pun...
© 2017, Springer Science+Business Media Dordrecht. We give a complete classification of Riemannian a...
In this thesis, we study "degenerate" (or "null") submanifolds of pseudo-riemannian manifolds, for w...
We study the translation surfaces in the pseudo–Galilean space with the condition that one of genera...
. The movement of the Poincar'e metrics of open Riemann surfaces belonging to an analytic famil...
For matrix analogues of embedded surfaces we define discrete curvatures and Euler characteristics, a...
We investigate the systems of quasi-linear partial differential equations of hydrody- namic type. Th...