P
Peter B. Gilkey
Researcher at University of Oregon
Publications - 387
Citations - 9755
Peter B. Gilkey is an academic researcher from University of Oregon. The author has contributed to research in topics: Curvature & Scalar curvature. The author has an hindex of 38, co-authored 385 publications receiving 9404 citations. Previous affiliations of Peter B. Gilkey include University of Santiago de Compostela & Heriot-Watt University.
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Invariance theory, the heat equation, and the Atiyah-Singer index theorem
TL;DR: Pseudo-Differential Operators: Pseudo-differential operators on Rm Pseudo differential operators in Rm and on Manifolds with Boundary The Eta Invariance Theory and Pontrjagin classes of Complex Bundles as mentioned in this paper.
Journal ArticleDOI
Gravitation, Gauge Theories and Differential Geometry
TL;DR: In this article, the Enrico Fermi Institute and Department of Physics, The University of Chicago, Chicago, Illinois, USA Peter B. GILKEY Fine Hall, Box 37.
Journal ArticleDOI
The asymptotics of the Laplacian on a manifold with boundary
Thomas Branson,Peter B. Gilkey +1 more
TL;DR: In this paper, the asymptotics of the heat equation for Dirichlet, Neumann, and mixed boundary conditions were derived for a tensor tensor operator on a Riemannian manifold with boundary.
Reference BookDOI
Asymptotic Formulae in Spectral Geometry
TL;DR: Asymptotic Formulae in Spectral Geometry as mentioned in this paper collects results and computations into one book, focusing on the functorial and special cases methods of computing asymptic heat trace and heat content coefficients.