activity
19972019
most citedHeat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario

65 citations · 222 across the 12 of their papers we have counts for

collaborators

12 papers

math.DG2019★ 1 cited

Affine Killing vector fields on homogeneous surfaces with torsion

Daniela D'Ascanio, Peter Gilkey, Pablo Pisani

Many extensions of General Relativity are based on considering metric and affine structures as independent properties of spacetime. This leads to the possibility of introducing tor…

math.AP2014

Heat content with singular initial temperature and singular specific heat

M. van den Berg, P. Gilkey

Let (M,g) be a compact Riemannian manifold without boundary. Let D be a compact subdomain of M with smooth boundary. We examine the heat content asymptotics for the heat flow from…

math.AP2012

Neumann heat content asymptotics with singular initial temperature and singular specific heat

M. van den Berg, P. Gilkey, H. Kang

We study the asymptotic behavior of the heat content on a compact Riemannian manifold with boundary and with singular specific heat and singular initial temperature distributions i…

math.AP2012★ 4 cited

Heat content asymptotics with singular data

M. van den Berg, P. Gilkey

We study the asymptotic behaviour of the heat content on a compact Riemannian manifold with boundary and with singular specific heat and singular initial temperature distributions.…

math.AP2005★ 11 cited

Heat kernel coefficients for chiral bag boundary conditions

Giampiero Esposito, Peter Gilkey, Klaus Kirsten

We study the asymptotic expansion of the smeared L2-trace of fexp(-tP^2) where P is an operator of Dirac type, f is an auxiliary smooth smearing function which is used to localize…

math.AP2005★ 13 cited

Stability theorems for chiral bag boundary conditions

Peter Gilkey, Klaus Kirsten

We study asymptotic expansions of the smeared L2-traces Fexp(-t P^2) and FPexp(-tP^2), where P is an operator of Dirac type and F is an auxiliary smooth endomorphism. We impose chi…