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Erlend Grongs bilde

Erlend Grong

Førsteamanuensis
  • E-postErlend.Grong@uib.no
  • Besøksadresse
    Realfagbygget, Allégt. 41
  • Postadresse
    Postboks 7803
    5020 Bergen
Vitenskapelig artikkel
  • 2019. Transverse Weitzenbock formulas and de Rham cohomology of totally geodesic foliations. Annals of Global Analysis and Geometry. 403-428.
  • 2019. Submersions and curves of constant geodesic curvature. Mathematische Nachrichten. 1956-1971.
  • 2019. Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations. Calculus of Variations and Partial Differential Equations.
  • 2019. Horizontal holonomy and foliated manifolds. Annales de l'Institut Fourier. 1047-1086.
  • 2019. A Lichnerowicz estimate for the spectral gap of a sub-Laplacian. Proceedings of the American Mathematical Society. 5153-5166.
  • 2018. Stochastic Completeness and Gradient Representations for Sub-Riemannian Manifolds. Potential Analysis. 219-254.
  • 2018. Asymptotic expansion of holonomy. Forum mathematicum. 1363-1385.
  • 2017. Riemannian and sub-Riemannian geodesic flows. Journal of Geometric Analysis. 1260-1273.
  • 2016. Submersions, Hamiltonian systems, and optimal solutions to the rolling manifolds problem. SIAM Journal of Control and Optimization. 536-566.
  • 2016. Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations: part II. Mathematische Zeitschrift. 131-164.
  • 2016. Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations: part I. Mathematische Zeitschrift. 99-130.
  • 2015. Sub-Riemannian Geometry on Infinite-Dimensional Manifolds. Journal of Geometric Analysis. 2474-2515.
  • 2014. Geometric conditions for the existence of a rolling without twisting or slipping. Communications on Pure and Applied Analysis. 435-452.
  • 2012. Controllability of rolling without twisting or slipping in higher dimensions. SIAM Journal of Control and Optimization. 2462-2485.
  • 2012. An intrinsic formulation of the problem on rolling manifolds. Journal of Dynamical and Control Systems. 181-214.
  • 2011. Sub-Riemannian and sub-Lorentzian geometry on SU(1,1) and on its universal cover. Journal of Geometric Mechanics (JGM). 225-260.
  • 2009. Matching univalent functions and conformal welding. Annales Academiae Scientiarum Fennicae Mathematica. 303-314.
Doktorgradsavhandling
  • 2012. Nonholonomic geometry in finite and infinite dimensional Lie groups and rolling manifolds.
Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
  • 2012. Sub-Riermannian structures corresponding to Kählerian metrics on the universal Teichmüller space and curve. 20 sider.
  • 2011. Rolling manifolds : an intrinsic perspective. 14 sider.

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