Research Interests
$\bullet$ Ricci flow.
$\bullet$ Group actions on Riemannian manifolds.
$\bullet$ Manifolds of positive curvature.
$\bullet$ Singular spaces and convergence of manifolds to singular spaces.
• Bamler, Richard H.; Cabezas-Rivas, Esther; Wilking, Burkhard The Ricci flow under almost non-negative curvature conditions. Inventiones Mathematicae Vol. 217 (1), 2019, pp 95-126 online
• Böhm, Christoph; Wilking, Burkhard Manifolds with positive curvature operators are space forms. Annals of Mathematics Vol. 167 (3), 2008 online
• Cabezas-Rivas, Esther; Wilking, Burkhard How to produce a Ricci flow via Cheeger-Gromoll exhaustion. Journal of the European Mathematical Society Vol. 17 (12), 2015, pp 3153-3194 online
• Grove, Karsten; Wilking, Burkhard A knot characterization and 1-connected nonnegatively curved 4-manifolds with circle symmetry. Geometry and Topology Vol. 18 (5), 2014, pp 3091-3110 online
• Grove, Karsten; Wilking, Burkhard; Ziller, Wolfgang Positively curved cohomogeneity one manifolds and 3-Sasakian geometry. Journal of Differential Geometry Vol. 78 (1), 2008, pp 33--111 online
• Lytchak, Alexander; Wilking, Burkhard Riemannian foliations of spheres. Geometry and Topology Vol. 20 (3), 2016 online
• Radeschi, Marco; Wilking, Burkhard On the Berger conjecture for manifolds all of whose geodesics are closed. Inventiones Mathematicae Vol. 210 (3), 2017 online
• Wilking, Burkhard Torus actions on manifolds of positive sectional curvature. Acta Mathematica Vol. 191, 2003 online
• Wilking, Burkhard A Lie algebraic approach to Ricci flow invariant curvature conditions and Harnack inequalities. Journal für die reine und angewandte Mathematik Vol. 679 (1), 2013, pp 223-247 online
• Wilking, Burkhard; Ziller, Wolfgang Revisiting homogeneous spaces with positive curvature. Journal für die reine und angewandte Mathematik Vol. 738, 2018 online
Recent Publications of Prof. Dr. Burkhard Wilking
$\bullet $ Aaron C. Naber, André A. Neves, and Burkhard Wilking. Geometrie. Oberwolfach Reports, 19(2):1551–1601, April 2023. doi:10.4171/owr/2022/28.
$\bullet $ Lee Kennard, Michael Wiemeler, and Burkhard Wilking. Positive curvature, torus symmetry, and matroids. arXiv e-prints, December 2022. arXiv:2212.08152.
$\bullet $ Claudio Gorodski, Andreas Kollross, and Burkhard Wilking. Actions on positively curved manifolds and boundary in the orbit space. arXiv e-prints, December 2021. arXiv:2112.00513.
$\bullet $ Lee Kennard, Michael Wiemeler, and Burkhard Wilking. Splitting of torus representations and applications in the Grove symmetry program. arXiv e-prints, June 2021. arXiv:2106.14723.
$\bullet $ Richard Bamler, Esther Cabezas-Rivas, and Burkhard Wilking. The Ricci flow under almost non-negative curvature conditions. Invent. Math., 217:95–126, July 2019. doi:10.1007/s00222-019-00864-7.
$\bullet $ Karsten Grove, Burkhard Wilking, and Joseph Yeager. Almost non-negative curvature and rational ellipticity in cohomogeneity two. Ann. Inst. Fourier, 69(7):2921–2939, January 2019. doi:10.5802/aif.3340.
$\bullet $ Burkhard Wilking and Wolfgang Ziller. Revisiting homogeneous spaces with positive curvature. J. Reine Angew. Math., 738(738):313–328, October 2018. doi:10.1515/crelle-2015-0053.