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A Note On Certain Maximal Curves
(Taylor & Francis IncPhiladelphia, 2017)
Self-contracted curves in Riemannian manifolds
(Academic Press Inc., 2018)
It is established that every self-contracted curve in a Riemannian manifold has finite length, provided its image is contained in a compact set.
Metric and Geometric Relaxations of Self-Contracted Curves
(Springer New York LLC, 2019)
© 2018, Springer Science+Business Media, LLC, part of Springer Nature.The metric notion of a self-contracted curve (respectively, self-expanded curve, if we reverse the orientation) is hereby extended in a natural way. Two ...
Rectifiability of Self-Contracted Curves in the Euclidean Space and Applications
(Springer, 2015)
It is hereby established that, in Euclidean spaces of finite dimension,
bounded self-contracted curves have finite length. This extends the main result of
Daniilidis et al. (J. Math. Pures Appl. 94:183–199, 2010) concerning ...
Brill-Noether Theories for Rank 1 Sheaves on
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)
On the genus of a maximal curve
(Springer-verlagNew YorkEUA, 2002)