Heat contents asymptotics of Riemannian manifolds
by M. van den Berg, S. Desjardins and P. Gilkey
Addendum received on 11 January 1996 from P. Gilkey
___________________________________________________
Author's current adresses as of January 1996
Michiel van den Berg,
Department of Mathematics,
University of Bristol, University Walk
Bristol BS8 1TW, United Kingdom
Sylvie Desjardins,
University of Ottawa, 585 King Edward,
Ottawa, ON, K1N 6N5, Canada
Telephone: 613-562-5800 ext. 3526,
Fax: 613-562-5776,
E-mail: sdesjard@mathstat.uottawa.ca
or desjard@ACADVM1.uottawa.ca
Peter B Gilkey, Department of Mathematics,
University of Oregon, Eugene Or 97403 USA,
Telephone: 541-346-4717,
Fax: 541-346-0987,
E-mail: gilkey@math.uoregon.edu
Updates to references as of January 1996
M. van den Berg, {\it Heat content and Brownian motion for
some regions with a fractal boundary}, Probab. Theor. Rel. Fields 100 (1994),
439-456.
--- {\it Heat content asymptotics for planar regions with cusps}
(to appear J. London Math. Soc. 1996).
M. van den Berg and J. F. Le Gall, {\it Mean curvature and
the heat equation}, Math. Zeit 215 (1994), 437-464.
M. van den Berg and P. Gilkey, {\it Heat content asymptotics of a Riemannian
manifold with boundary} J. Functional Anal. V120 (1994), 48-71.
---, {\it Heat invariants for odd dimensional
hemispheres}, to appear Proc. of the Royal Soc. of Edinburgh.
M. van den Berg, S. Desjardins, and P. Gilkey,
{\it Functorality and heat content asymptotics for
operators of Laplace type}, Topological methods
in nonlinear anlaysis V2 (1993), 147-162.
N. Blazic, N. Bokan, and P. Gilkey, {\it Geometry of
manifolds and heat content asymptotics for operators of
Laplace type}, Topology of submanifolds VII (ed Dillen,
Magid, Simon, Woestijne, Verstraelen). World Scientific
(ISBN 981-02-2195-9 1995), p 84-87.
S. Desjardins, {\it Heat Content Asymptotics for
Higher Order Laplacians} (preprint)
S. Desjardins and P. Gilkey, {\it Heat content asymptotics
for operators of Laplace type with Neumann boundary
conditions}, Math. Z. 215 (1994), 251-268.
P. Gilkey, {\it Heat content asymptotics of non
minimal operators}, Topological methods in non-linear
analysis. Vol 3 (1994), 69-80.
--- {\it Heat equation and heat content asymptotics},
{\bf Heat kernel techniques and quantum
gravity}, edited by S. A. Fulling, Discourses in mathematics
and its applications \#4. 1-10. ISBN 0-9630728-3-8.
P. Gilkey and J. H. Park {\it The Bochner Laplacian,
Riemannian submersions, heat content asymptotics
and heat equation asymptotics} (preprint).