39 citations · 72 across the 12 of their papers we have counts for
12 papers
Mean Curvature Driven Ricci Flow
Victor Tapia
We obtain the evolution equations for the Riemann tensor, the Ricci tensor and the scalar curvature induced by the mean curvature flow. The evolution for the scalar curvature is si…
Invariant and polynomial identities for higher rank matrices
Victor Tapia
We exhibit explicit expressions, in terms of components, of discriminants, determinants, characteristic polynomials and polynomial identities for matrices of higher rank. We define…
On the Variational Characterisation of Generalized Jacobi Equations
Biagio Casciaro, Mauro Francaviglia, Victor Tapia
We study higher--order variational derivatives of a generic second--order Lagrangian and in this context we discuss the Jacobi equati…
Universal field equations for metric-affine theories of gravity
V. Tapia, M. Ujevic
We show that almost all metric--affine theories of gravity yield Einstein equations with a non--null cosmological constant . Under certain circumstances and for any dimension, i…
Differential Invariants for Higher-Rank Tensors. A Progress Report
Victor Tapia
We outline the construction of differential invariants for higher--rank tensors.
Polynomial identities for hypermatrices
Victor Tapia
We develop a method to construct algebraic invariants for hypermatrices. We then construct hyperdeterminants and exhibit a generalization of the Cayley-Hamilton theorem for hyperma…