Nonlinear differential Equations
NonlinearDifEquation
University of Oregon
Eugene, Estados UnidosPublications in collaboration with researchers from University of Oregon (24)
2021
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Aspects of differential geometry v
Synthesis Lectures on Mathematics and Statistics, Vol. 13, Núm. 3, pp. 1-156
2020
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On distinguished local coordinates for locally homogeneous affine surfaces
Monatshefte fur Mathematik, Vol. 192, Núm. 1, pp. 65-74
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Solutions to the affine quasi-Einstein equation for homogeneous surfaces
Advances in Geometry, Vol. 20, Núm. 3, pp. 413-432
2019
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Aspects of Differential Geometry IV
Synthesis Lectures on Mathematics and Statistics, Vol. 11, Núm. 2, pp. 1-167
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Constructing Bach flat manifolds of signature (2, 2) using the modified Riemannian extension
Journal of Mathematical Physics, Vol. 60, Núm. 1
2018
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A natural linear equation in affine geometry: The affine quasi-einstein equation
Proceedings of the American Mathematical Society, Vol. 146, Núm. 8, pp. 3485-3497
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Affine Surfaces Which are Kähler, Para-Kähler, or Nilpotent Kähler
Results in Mathematics, Vol. 73, Núm. 4
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Half conformally flat generalized quasi-Einstein manifolds of metric signature (2, 2)
International Journal of Mathematics, Vol. 29, Núm. 1
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Homogeneous affine surfaces: Affine killing vector fields and gradient ricci solitons
Journal of the Mathematical Society of Japan, Vol. 70, Núm. 1, pp. 25-70
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The affine quasi-Einstein Equation for homogeneous surfaces
Manuscripta Mathematica, Vol. 157, Núm. 1-2, pp. 279-294
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The structure of the Ricci tensor on locally homogeneous Lorentzian gradient Ricci solitons
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 148, Núm. 3, pp. 461-482
2017
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Aspects of differential geometry III
Synthesis Lectures on Mathematics and Statistics, Vol. 9, Núm. 1, pp. 1-161
2016
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Homogeneous affine surfaces: Moduli spaces
Journal of Mathematical Analysis and Applications, Vol. 444, Núm. 2, pp. 1155-1184
2015
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Homothety curvature homogeneity and homothety homogeneity
Annals of Global Analysis and Geometry, Vol. 48, Núm. 2, pp. 149-170
2014
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Homogeneity of Lorentzian three-manifolds with recurrent curvature
Mathematische Nachrichten, Vol. 287, Núm. 1, pp. 32-47
2013
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Homogeneous 4-Dimensional Kähler-Weyl Structures
Results in Mathematics, Vol. 64, Núm. 3-4, pp. 357-369
2012
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Geometric realizability of covariant derivative Kähler tensors for almost pseudo-Hermitian and almost para-Hermitian manifolds
Annali di Matematica Pura ed Applicata, Vol. 191, Núm. 3, pp. 487-502
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Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators
Geometriae Dedicata, Vol. 156, Núm. 1, pp. 151-163
2011
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Compact Osserman Manifolds with Neutral Metric
Results in Mathematics, Vol. 59, Núm. 3-4, pp. 495-506
2010
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Four-dimensional Osserman metrics of neutral signature
Pacific Journal of Mathematics, Vol. 244, Núm. 1, pp. 21-36