4 papers
Special vector fields on Riemannian manifolds of constant negative sectional curvature and conservation laws
Keti Tenenblat, Alice Barbora Tumpach
We show that any -dimensional Riemannian manifold with constant negative sectional curvature admits local orthonormal vector fields such that one of them is tangent to geo…
Hyperkaehler Marriage of the two sphere with the hyperbolic space
Alice Barbora Tumpach
The Eguchi-Hanson metric is a natural metric on the total space of the cotangent bundle of the complex projective line , whi…
Infinite-dimensional Siegel disc as symplectic and Kaehler quotient
Alice Barbora Tumpach
In this paper, we construct the restricted infinite-dimensional Siegel disc as a Marsden-Weinstein symplectic reduced space and as Kaehler quotient of a weak Kaehler manifold. The…
3 methods to put a Riemannian metric on Shape Space
Alice Barbora Tumpach, Stephen C. Preston
In many applications, one is interested in the shape of an object, like the contour of a bone or the trajectory of joints of a tennis player, irrespective of the way these shapes a…