5 citations · 7 across the 6 of their papers we have counts for
6 papers
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…
The projective symplectic geometry of higher order variational problems: minimality conditions
C. Durán, D. Otero
We associate curves of isotropic, Lagrangian and coisotropic subspaces to higher order, one parameter variational problems. Minimality and conjugacy properties of extremals are des…
Sharp constant in Riemannian L^p-Gagliardo-Nirenberg inequalities
Jurandir Ceccon, Carlos Duran
Let (M,g) be a smooth compact Riemannian manifold of dimension n \geq 2, 1 < p < n and 1 \leq q < r < p^\ast = \frac{np}{n-p} be real parameters. This paper concerns to the validit…
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…
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…
Geometric invariants of fanning curves
Juan Carlos Álvarez Paiva, Carlos E. Durán
We study the geometry of an important class of generic curves in the Grassmannian manifolds of -dimensional subspaces and Lagrangian subspaces of under the action of th…