12 Citations
ON HESSIAN RIEMANNIAN STRUCTURES*
- Mathematics
- 2016
In Proposition 4.1 a characterization is given of Hessian Riemannian structures in terms of a natural connection in the general linear group GL(n, R), which is viewed as a principal SO(n)-bundle over…
Euler-Poincaré obstruction for pretzels with long tentacles à la Cantor-Nyikos
- Mathematics
- 2011
We present an avatar of the Euler obstruction to foliated structures on certain non-metric surfaces. This adumbrates (at least for the simplest 2D-configurations) that the standard mechanism---to the…
D ec 2 01 1 Euler-Poincaré obstruction for pretzels with long tentacles à
- 2011
Shearman, Toby L.; Venkataramani, Shankar C. Distributed branch points and the shape of elastic surfaces with constant negative curvature
- Physics
- 2022
The authors argue that these surfaces are good candidates for minimizing bending energy. By using the discrete model, they made numerical experiments that corroborates this expectation. They also…
Distributed Branch Points and the Shape of Elastic Surfaces with Constant Negative Curvature
- MathematicsJ. Nonlinear Sci.
- 2021
It is argued that, to optimize norms of the curvature, i.e., the bending energy, distributed branch points are energetically preferred in sufficiently large pseudospherical surfaces.
Completing the conformal boundary of a simply connected Lorentz surface
- Mathematics
- 2001
This paper extends Kulkarni's conformal boundary ∂L for a simply connected Lorentz surface £ to a compact conformal boundary ∂ c L. The procedure used is analogous to Caratheodory's construction (in…
On Hessian Riemannian structures
- Mathematics
- 1999
In Proposition 4.1 a characterization is given of Hessian Riemannian structures in terms of a natural connection in the general linear group GL(n; R) + , which is viewed as a principal SO(n)-bundle…
Über eine spezielle Klasse von Nabelpunkten und analoge Singularitäten in der zentroaffinen Flächentheorie
- Mathematics
- 1966
Notes on isomagnetic charts: II—The form and disposition of the nodal curves
- Geology
- 1940
The form of the special isomagnetic lines which cross themselves (the nodal curves) is discussed, and the nature of the regions into which they divide the surface of the sphere. Geomagnetic…