5 citations · 7 across the 6 of their papers we have counts for
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math.DG2017
Moving planes, Jacobi curves and the dynamical approach to Finsler geometry
Carlos Duran, Henrique Vitorio
We express invariants of Finsler manifolds in a geometrical way by means of using moving planes and their associated Jacobi curves, which are curves in a fixed homogeneous Grassman…
math.DG2006★ 1 cited
An infinite family of Gromoll-Meyer spheres
C. Duran, T. Puettmann, A. Rigas
We construct a new infinite family of models of exotic 7-spheres. These models are direct generalizations of the Gromoll-Meyer sphere. From their symmetries, geodesics and submanif…
math.DG2006★ 1 cited
A minimal Brieskorn 5-sphere in the Gromoll-Meyer sphere and its applications
Carlos Duran, Thomas Puettmann
We recognize the Gromoll-Meyer sphere Sigma^7 as the geodesic join of a simple closed geodesic and a minimal subsphere Sigma^5, which can be equivariantly identified with the Bries…