Search Results - "Gilkey, Peter B."

Moduli spaces of type B surfaces with torsion by Gilkey, Peter B.

“…We examine moduli spaces of locally homogeneous surfaces of Type  B with torsion where the symmetric Ricci tensor is non-degenerate. We also determine the…”
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The local index density of the perturbed de Rham complex by López, Jesús Álvarez, Gilkey, Peter B.

“…A perturbation of the de Rham complex was introduced by Witten for an exact 1-form Θ and later extended by Novikov for a closed 1-form on a Riemannian manifold…”
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Homogeneity of Lorentzian three-manifolds with recurrent curvature by García-Río, Eduardo, Gilkey, Peter B., Nikčević, Stana

“…k‐Curvature homogeneous three‐dimensional Walker metrics are described for k≤2. This allows a complete description of locally homogeneous three‐dimensional…”
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The eta invariant and equivariant bordism of flat manifolds with cyclic holonomy group of odd prime order by Gilkey, Peter B., Miatello, Roberto J., Podestá, Ricardo A.

“…We study the eta invariants of compact flat spin manifolds of dimension n with holonomy group , where p is an odd prime. We find explicit expressions for the…”
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FOUR-DIMENSIONAL OSSERMAN METRICS OF NEUTRAL SIGNATURE by GARCIA-RIO, Eduardo, GILKEY, Peter B, VAZQUEZ-ABAL, M. Elena, VAZQUEZ-LORENZO, Ramón

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The moduli space of Type  A surfaces with torsion and non-singular symmetric Ricci tensor by Gilkey, Peter B.

“…We examine the moduli spaces of Type  A connections on oriented and unoriented surfaces both with and without torsion in relation to the signature of the…”
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Moduli spaces of type  $$\mathcal {B}$$ B surfaces with torsion by Gilkey, Peter B.

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The geometry of curvature homogeneous pseudo-Riemannian manifolds: Peter B. Gilkey by Gilkey, Peter B

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The eta invariant and metrics of positive scalar curvature by Botvinnik, Boris, Gilkey, Peter B.

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Geometry of differential operators on Weyl manifolds by Bokan, Neda, Gilkey, Peter B., Simon, Udo

“…We define natural operators of Laplace type for a Weyl manifold which transform conformally. We use the asymptotics of the heat equation for these operators to…”
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The Eta Invariant and the Connective K-Theory of the Classifying Space for Cyclic 2 Groups by Barrera-Yanez, Egidio, Gilkey, Peter B

“…We use the eta invariant to study the connective K-theory groups kom(B\Bbb{Z}[cursive l]) of the classifying space for the cyclic group \Bbb{Z}[cursive l]…”
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Eigenvalues of the form valued Laplacian for Riemannian submersions by Gilkey, Peter B., Leahy, John V., Park, Jeong Hyeong

“…Let \pi :Z\rightarrow Y be a Riemannian submersion of closed manifolds. Let \Phi _{p} be an eigen p-form of the Laplacian on Y with eigenvalue \lambda which…”
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Homogeneity of Lorentzian three-manifolds with recurrent curvature: Homogeneity of Lorentzian manifolds with recurrent curvature by García-Río, Eduardo, Gilkey, Peter B., Nikčević, Stana

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Volume density asymptotics of central harmonic spaces by Gilkey, Peter B, Park, JeongHyeong

“…We show the asymptotics of the volume density function in the class of central harmonic manifolds can be specified arbitrarily and do not determine the…”
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An almost Zoll affine surface by Gilkey, Peter B

“…An affine surface is said to be an affine Zoll surface if all affine geodesics close smoothly. It is said to be an affine almost Zoll surface if thru any…”
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Derived heat trace asymptotics for the de Rham and Dolbeault complexes by López, Jesús A. Álvarez, Gilkey, Peter B

“…We examine the derived heat trace asymptotics in both the real and the complex settings for a generalized Witten perturbation. If the dimension is even, in the…”
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Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario by Gilkey, Peter B., Kirsten, Klaus, Vassilevich, Dmitri V.

“…We study the spectral geometry of an operator of Laplace type on a manifold with a singular surface. We calculate the first several coefficients of the heat…”
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Heat kernel asymptotics with mixed boundary conditions by Branson, Thomas P., Gilkey, Peter B., Kirsten, Klaus, Vassilevich, Dmitri V.

“…We calculate the coefficient a 5 of the heat kernel asymptotics for an operator of Laplace type with mixed boundary conditions on a general compact manifold…”
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Moduli spaces of Type~$\mathcal{B}$ surfaces with torsion by Gilkey, Peter B

“…We examine moduli spaces of locally homogeneous surfaces of Type~$\mathcal{B}$ with torsion where the symmetric Ricci tensor is non-degenerate. We also…”
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The moduli space of Type~A surfaces with torsion and non-singular symmetric Ricci tensor by Gilkey, Peter B

“…We examine the moduli spaces of Type~A connections on oriented and unoriented surfaces both with and without torsion in relation to the signature of the…”
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