15 citations · 15 across the 1 of their papers we have counts for
6 papers
The C_2 heat-kernel coefficient in the presence of boundary discontinuities
J. S. Apps, J. S. Dowker
We consider the heat-kernel on a manifold whose boundary is piecewise smooth. The set of independent geometrical quantities required to construct an expression for the contribution…
Spectral invariants for the Dirac equation on the d-Ball with various boundary conditions
J. S. Dowker, J. S. Apps, K. Kirsten +1
The mode properties for spectral and mixed boundary conditions for massless spin-half fields are derived for the --ball. The corresponding functional determinants and heat-kerne…
Functional determinants on certain domains
J. S. Dowker, J. S. Apps
Functional determinants on various domains of the sphere and flat space are presented for scalar and spinor fields.
Further functional determinants
J. S. Dowker, J. S. Apps
Functional determinants for the scalar Laplacian on spherical caps and slices, flat balls, shells and generalised cylinders are evaluated in two, three and four dimensions using co…
Diffeomorphisms of Curved Manifolds
J. S. Apps
We obtain an expression for the curvature of the Lie group SDiff and use it to derive Lukatskii's formula for the case where is locally Euclidean. We discuss quali…
Diffeomorphisms of the Klein Bottle and Projective Plane
J. S. Apps, J. S. Dowker
We calculate the Riemann curvature tensor and sectional curvature for the Lie group of volume-preserving diffeomorphisms of the Klein bottle and projective plane. In particular, we…