Publications


  • The Symmetry of 2-Flat Homogeneous Spaces, Geometriae Dedicata, 65, 161-165, 1997.

  • Eine geometrische Charakterisierung der symmetrischen Raeume, Shaker Verlag, ISBN3-8265-2946-4, 1997.

  • Rank and symmetry of homogeneous spaces, Proceedings of the 3rd Congress of Geometry (Athens, 1997), 166, Univ. Athens, Athens, 1998.

  • Flats and Symmetry of Homogeneous Spaces, Mathematische Zeitschrift, 234, no. 1, 145-162, 2000.

  • On Infinitesimally k-flat Homogeneous Spaces (with J. Berndt ), Bul. Belg. Math. Soc., 8, no. 1, 1-6, 2001.

  • Rank Rigidity, Cones and Curvature - Homogeneous Hadamard Manifolds (wtih J. Berndt ), Osaka J. Math., 39, no. 2, 383-394, 2002.

  • 2-step nilpotent Lie groups of higher rank, Manuscripta Math., 107, no. 1,101-110, 2002.

  • The Cheeger constant of simply connected, solvable Lie groups (with N. Peyerimhoff ), Proc. Amer. Math. Soc. 132, no. 5, 1525-1529, 2004.

  • The moduli space of 6-dimensional 2-step nilpotent Lie algebras (with S. Console and A. Fino), Annals of Global Analysis and Geometry 27, 17-32, 2005.

  • Homogeneous spaces with sections (with A. Kollross ), Manuscripta Math. 116, 115-123, 2005.

  • Curvature and q-strict convexity, Oberwolfach Report 56, 2006.

  • Curvature and q-strict convexity (with L. Dalla ), Beitraege Algebra Geom. 48, no. 1, 83-93, 2007.

  • The Monge-Ampere equation and warped products of higher rank (with S. Bechtluft-Sachs ), J. Aust. Math. Soc. 83, 11-15, 2007.

  • Spherical spectral synthesis and two-radius theorems on Damek-Ricci spaces (with N.Peyerimhoff ), Ark. Mat. 48, 131-147, 2010.

  • Manifolds with large isotropy groups (with A. Kollross ), Advances in Geometry, Vol. 11, No. 1, 89�102, 2011.

  • Integral geometric properties of non-compact harmonic spaces (with N. Peyerimhoff ), J. Geom. Anal., Vol. 25, No. 1, 122-148, 2015.

  • The X-ray transform on 2-step nilpotent Lie groups of higher rank (with N. Peyerimhoff ), Rend. Semin. Mat. Univ. Politec. Torino, Vol. 74, No. 1, 299-307, 2016.

  • Green's functions, Biot-Savart operators, and linking numbers on negatively curved symmetric spaces (with S. Bechtluft-Sachs ), J. Math. Phys., Vol. 60, No. 11, 2019.

  • A support theorem for the X-ray transform on manifolds with plane covers (with N. Peyerimhoff ), to appear in Math. Proc. Camb. Phil. Soc.

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