Andreas Kollross

My articles on arXiv. My Google Scholar userprofile.

A classification of hyperpolar and cohomogeneity one actions. Trans. Amer. Math. Soc. 354, 571–612 (2002)

Low cohomogeneity representations and orbit maximal actions. Annals of Global Analysis and Geometry 23, 93–100 (2003)

with Fabio Podestà: Homogeneous spaces with polar isotropy. manuscripta math. 110 (4), 487–503 (2003)

with Jost-Hinrich Eschenburg and Krishnan Shankar: Free isometric circle actions on compact symmetric spaces. Geometriae Dedicata 102(1), 35–44 (2003)

with Evangelia Samiou: Homogeneous spaces with sections. manuscripta math. 116(2), 115–123 (2005)

Polar actions on symmetric spaces. Journal of Differential Geometry 77(3), 425–482 (2007)

Low Cohomogeneity and Polar Actions on Exceptional Compact Lie Groups. Transformation Groups, Vol.14, No.2, 387–415 (2009)

Exceptional Z₂ x Z₂-symmetric spaces. Pacific Journal of Math. 242(1), 113–130 (2009)

with Jost-Hinrich Eschenburg and Renato Tribuzy: Codimension of immersions with parallel pluri-mean curvature. Differential Geometry and its Applications 27, 691–695 (2009), doi:10.1016/j.difgeo.2009.03.009

with Evangelia Samiou: Manifolds with large isotropy groups. Advances in Geometry, Vol. 11, No. 1, 89–102 (2011)

with José Carlos Díaz-Ramos: Polar actions with a fixed point. Differential Geometry and its Applications 29, 20–25 (2011), doi:10.1016/j.difgeo.2011.01.001

Duality of symmetric spaces and polar actions. Journal of Lie Theory 21, No. 4, 961–986 (2011)

with Alexander Lytchak: Polar actions on symmetric spaces of higher rank. Bulletin of the London Mathematical Society (2012) doi: 10.1112/blms/bds091

with Megan M. Kerr: Nonnegatively curved homogeneous metrics in low dimensions. Annals of Global Analysis and Geometry (2012) doi:10.1007/s10455-012-9345-x

with Megan M. Kerr: Nonnegatively curved homogeneous metrics obtained by scaling fibers of submersions. Geometriae Dedicata 166 (1), 269–287 (2013) doi:10.1007/s10711-012-9795-0

with José Carlos Díaz-Ramos and Miguel Domínguez-Vázquez: Polar actions on complex hyperbolic spaces. Mathematische Zeitschrift, 287(3), 1183–1213 (2017) doi:10.1007/s00209-017-1864-5

with Claudio Gorodski: Some remarks on polar actions. Annals of Global Analysis and Geometry, 49(1) 43–58 (2015) doi:10.1007/s10455-015-9479-8

Hyperpolar actions on reducible symmetric spaces. Transformation Groups (2016) doi:10.1007/s00031-016-9384-7

Octonions, triality, the exceptional Lie algebra F4, and polar actions on the Cayley hyperbolic plane, International Journal of Mathematics, Vol. 31, No. 07, 2050051 (2020)

with José Carlos Díaz-Ramos and Miguel Domínguez-Vázquez: On homogeneous manifolds whose isotropy actions are polar, manuscripta math. (2020) 161: 15. https://doi.org/10.1007/s00229-018-1077-1

with Manuel Amann: Equivariant formality of the isotropy action on Z2⊕Z2-symmetric spaces, to appear in Journal of Topology and Analysis

Polar actions on Damek-Ricci spaces, Differential Geometry and its Applications doi.org/10.1016/j.difgeo.2021.101753

with Claudio Gorodski and Burkhard Wilking: Actions on positively curved manifolds and boundary in the orbit space, arXiv:2112.00513

with Alberto Rodríguez-Vázquez: Totally geodesic submanifolds in exceptional symmetric spaces, Advances in Mathematics, Volume 418, 2023,108949