65 citations · 360 across the 54 of their papers we have counts for
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A Conformal Mean Value Theorem for Solutions of the Ultrahyperbolic Equation
Guillem Cobos, Brendan Guilfoyle
Asgeirsson's theorem establishes a mean value property for solutions of the ultrahyperbolic equation. In the case of four variables, it states that the integrals of a solution over…
Properties and Transformations of Weingarten Surfaces
Brendan Guilfoyle, Morgan Robson
The Weingarten relations satisfied by rotationally symmetric surfaces in Euclidean 3-space E3 are considered from three points of view: restrictions on the slope of the relation at…
On the Convergence of Non-Integer Linear Hopf Flow
Brendan Guilfoyle, Morgan Robson
The evolution of a rotationally symmetric surface by a linear combination of its radii of curvature equation is considered. It is known that if the coefficients form certain intege…
Roots of Polynomials and Umbilics of Surfaces
Brendan Guilfoyle, Wilhelm Klingenberg
For certain polynomials we relate the number of roots inside the unit circle with the index of a non-degenerate isolated umbilic point on a real analytic surface in Euclidean 3-spa…