1 citations · 1 across the 6 of their papers we have counts for
6 papers
Power sums of critical points of gap polynomials for symmetric and pseudo-symmetric numerical semigroups
Pavel Grinfeld
For a numerical semigroup with Frobenius number and gaps , a polynomial of degree is called a gap polynomial. We show that…
An Elementary Proof of Hopf's Curvatura Integra Theorem
Pavel Grinfeld
We provide an elementary proof of the key aspect of Hopf's curvatura integra theorem. Namely, we show that the total curvature, i.e. the surface integral of the Gauss-Kronecker cur…
A Method for Preserving Geometric Meaning in the Calculus of Variations
Pavel Grinfeld
We discuss the advantages of the Calculus of Moving Surfaces over the Euler-Lagrange equation for optimization problems originating in Geometry. An extension of Tensor Calculus, it…
The Use of Geometric Quantities in the Tensor Description of a Euclidean Space
Pavel Grinfeld
We present a tensor description of Euclidean spaces that emphasizes the use of geometric vectors. We demonstrate the effectiveness of the approach by proving of a number of integra…
Accurate Computation of Laplace Eigenvalues by an Analytical Level Set Method
Pavel Grinfeld
This purpose of this write-up is to share an idea for accurate computation of Laplace eigenvalues on a broad class of smooth domains. We represent the eigenfunction as a linear…
A Geometric Construction for the Evaluation of Mean Curvature
Pavel Grinfeld
We give a relationship that yields an effective geometric way of evaluating mean curvature of surfaces. The approach is reminiscent of the Gauss's contour based evaluation of intri…