2 citations · 7 across the 9 of their papers we have counts for
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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…
Nijenhuis operators on homogeneous spaces related to -algebras
Tomasz Goliński, Gabriel Larotonda, Alice Barbora Tumpach
For a unital non-simple -algebra we consider its Banach--Lie group of invertible elements. For a given closed ideal in , we consider…
Nijenhuis operators on Banach homogeneous spaces
Tomasz Goliński, Gabriel Larotonda, Alice Barbora Tumpach
For a Banach--Lie group and an embedded Lie subgroup we consider the homogeneous Banach manifold . In this context we establish the most general conditions…
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…