6 citations · 17 across the 9 of their papers we have counts for
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A little scholium on Hilbert-Rohn via the total reality of -curves: Riemann's flirt with Miss Ragsdale
Alexandre Gabard
This note presents an elementary proof of Hilbert's 1891 Ansatz of nesting for -sextics, along the line of Riemann's Nachlass 1857 and a simple Harnack-style argument (1876). Ou…
Compact bordered Riemannian surfaces as vibrating membranes: an estimate à la Hersch-Yang-Yau-Fraser-Schoen
Alexandre Gabard
We try to present an estimate relating the first Dirichlet and Neumann eigenvalues of a compact bordered Riemannian surface.
Hairiness of -bounded surfaces with non-zero Euler characteristic
Alexandre Gabard
A little complement concerning the dynamics of non-metric manifolds is provided, by showing that any flow on an -bounded surface with non-zero Euler character has a fixed point.
A separable manifold failing to have the homotopy type of a CW-complex
Alexandre Gabard
We show that the Prüfer surface, which is a separable non-metrizable 2-manifold, has not the homotopy type of a CW-complex. This will follow easily from J. H. C. Whitehead's result…