6 citations · 23 across the 15 of their papers we have counts for
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math.CA2018
A new geometric viewpoint on Sturm-Liouville eigenvalue problems
Vitor Balestro, Horst Martini, Ralph Teixeira
In Euclidean plane geometry, cycloids are curves which are homothetic to their respective bi-evolutes. In smooth normed planes, cycloids can be similarly defined, and they are char…
math.MG2018
The Rosenthal-Szasz inequality for normed planes
Vitor Balestro, Horst Martini
We aim to study the classical Rosenthal-Szasz inequality for a plane whose geometry is given by a norm. This inequality states that the bodies of constant width have the largest pe…
math.DG2018
On curvature of surfaces immersed in normed spaces
Vitor Balestro, Horst Martini, Ralph Teixeira
The normal map given by Birkhoff orthogonality yields extensions of principal, Gaussian and mean curvatures to surfaces immersed in three-dimensional spaces whose geometry is given…