Search Results - "P. Gilkey"
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The Witten deformation of the Dolbeault complex
Published in Journal of geometry (01-08-2021)“…We introduce a Witten–Novikov type perturbation ∂ ¯ ω ¯ of the Dolbeault complex of any complex Kähler manifold, defined by a form ω of type (1, 0) with ∂ ω =…”
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Centrally harmonic spaces
Published in Periodica mathematica Hungarica (01-03-2023)“…We construct examples of centrally harmonic spaces by generalizing work of Copson and Ruse. We show that these examples are generically not centrally harmonic…”
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Heat Flow from Polygons
Published in Potential analysis (01-10-2020)“…We study the heat flow from an open, bounded set D in ℝ 2 with a polygonal boundary ∂ D . The initial condition is the indicator function of D . A Dirichlet 0…”
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Heat Flow Out of a Compact Manifold
Published in The Journal of geometric analysis (01-07-2015)“…We discuss the heat content asymptotics associated with the heat flow out of a smooth compact manifold in a larger compact Riemannian manifold. Although there…”
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The Geometry of Locally Symmetric Affine Surfaces
Published in Vietnam journal of mathematics (15-03-2019)“…We examine the local geometry of affine surfaces which are locally symmetric. There are six non-isomorphic local geometries. We realize these examples as type…”
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On distinguished local coordinates for locally homogeneous affine surfaces
Published in Monatshefte für Mathematik (01-05-2020)“…We give a new short self-contained proof of the result of Opozda (Differ Geom Appl 21:173–198, 2004) classifying the locally homogeneous torsion free affine…”
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Analytic continuation, the Chern–Gauss–Bonnet theorem, and the Euler–Lagrange equations in Lovelock theory for indefinite signature metrics
Published in Journal of geometry and physics (01-02-2015)“…We use analytic continuation to derive the Euler–Lagrange equations associated to the Pfaffian in indefinite signature (p,q) directly from the corresponding…”
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The geometry of modified Riemannian extensions
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (08-07-2009)“…We show that every paracomplex space form is locally isometric to a modified Riemannian extension and gives necessary and sufficient conditions for a modified…”
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The affine quasi-Einstein Equation for homogeneous surfaces
Published in Manuscripta mathematica (01-09-2018)“…We study the affine quasi-Einstein Equation for homogeneous surfaces. This gives rise through the modified Riemannian extension to new half conformally flat…”
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Spaces of locally homogeneous affine surfaces
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (2020)“…We examine the topology of various spaces of locally homogeneous affine surfaces which arise from the classification result of Opozda (Differ Geom Appl…”
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Homothety curvature homogeneity and homothety homogeneity
Published in Annals of global analysis and geometry (01-08-2015)“…We examine the difference between several notions of curvature homogeneity and show that the notions introduced by Kowalski and Vanžurová are genuine…”
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Risk-Reduction Research in Occupational Safety and Ergonomics: An Editorial
Published in International journal of environmental research and public health (16-03-2023)“…Occupational health and safety is one of the pillars of public health [...]…”
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Hardy Inequality and Heat Semigroup Estimates for Riemannian Manifolds with Singular Data
Published in Communications in partial differential equations (01-05-2012)“…Upper bounds are obtained for the heat content of an open set D in a geodesically complete Riemannian manifold M with Dirichlet boundary condition on ∂D, and…”
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Universal curvature identities
Published in Differential geometry and its applications (01-12-2011)“…We study scalar and symmetric 2-form valued universal curvature identities. We use this to establish the Gauss–Bonnet theorem using heat equation methods, to…”
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Transplanting geometrical structures
Published in Differential geometry and its applications (01-06-2013)“…We say that a germ G of a geometric structure can be transplanted into a manifold M if there is a suitable geometric structure on M which agrees with G on a…”
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The Association of Self-Reported Backpack Use and Backpack Weight With Low Back Pain Among College Students
Published in Journal of manipulative and physiological therapeutics (01-07-2010)“…Abstract Objective Back pain has consistently ranked among the top general health complaints among college students, but few studies have examined risk factors…”
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Geometric realizability of covariant derivative Kähler tensors for almost pseudo-Hermitian and almost para-Hermitian manifolds
Published in Annali di matematica pura ed applicata (01-09-2012)“…The covariant derivative of the Kähler form of an almost pseudo-Hermitian or of an almost para-Hermitian manifold satisfies certain algebraic relations. We…”
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Risk Factors Associated With Back Pain: A Cross-Sectional Study of 963 College Students
Published in Journal of manipulative and physiological therapeutics (01-02-2010)“…Abstract Objective The purpose of this study was to evaluate standard measures of health behavior for association with back pain among college students using…”
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Needs Assessment of Environmental Health Professionals in Montana: A Post-COVID-19 Perspective
Published in Journal of environmental health (01-09-2023)“…We designed a cross-sectional study for environmental health (EH) professionals in Montana as a follow-up to a needs assessment conducted in 2020 by the…”
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Stability Theorems for Chiral Bag Boundary Conditions
Published in Letters in mathematical physics (01-10-2005)Get full text
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