Gil Solanes

Gil Solanes

Gil Solanes
PhD in mathematics, from Universitat Autònoma de Barcelona
Professor Agregat at Universitat Autònoma de Barcelona

Personal webpage



Postdoctoral researcher at Université de Bourgogne and Universität Stuttgart (2003-2005)
Professor lector at Universitat de Barcelona (2005-2007)
Ramón y Cajal researcher at UAB (2008-2012)

My research is mainly focused on the integral geometry of isotropic spaces. For instance, together with Andreas Bernig and Joseph H.G. Fu, we recently obtained the kinematic formulas of complex space forms.

Research Interests


  • Integral Geometry
  • Convex Geometry
  • Tight submanifolds
  • Knot energies

    Selected publications

  • Bernig, Andreas ; Solanes, Gil . Classification of invariant valuations on the quaternionic plane. J. Funct. Anal. 267 (2014), no. 8, 2933–2961.
  • Bernig, Andreas ; Fu, Joseph H. G. ; Solanes, Gil . Integral geometry of complex space forms. Geom. Funct. Anal. 24 (2014), no. 2, 403–492.
  • Abardia, Judit ; Gallego, Eduardo ; Solanes, Gil . The Gauss-Bonnet theorem and Crofton-type formulas in complex space forms. Israel J. Math. 187 (2012), 287–315.
  • Solanes, Gil . Total curvature of complete surfaces in hyperbolic space. Adv. Math. 225 (2010), no. 2, 805–825.
  • Solanes, Gil . Integral geometry and the Gauss-Bonnet theorem in constant curvature spaces. Trans. Amer. Math. Soc. 358 (2006), no. 3, 1105–1115.