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Geodesic convexity

Known as: Geodesic convex, Geodesically convex 
In mathematics — specifically, in Riemannian geometry — geodesic convexity is a natural generalization of convexity for sets and functions to… 
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Related topics

Related topics

5 relations
Convex functionConvex setList of numerical analysis topicsVietoris–Rips complex

Broader (1)

Convex optimization

Papers overview

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2018
2018
Smoothing using Geodesic Averages
Geodesic averages have been used to generalize curve subdivision and Bezier curves to Riemannian manifolds and Lie groups. We… 
2018
2018
An Algorithm for Computing a Hamiltonian Cycle of Given Points in a Polygonal Region
In this paper, for a point set X in a simple polygon P, we present an algorithm to compute a Hamiltonian cycle which avoids the… 
2016
2016
Generalized Nash Equilibria in Riemannian Manifolds
In this paper, by using Begle’s fixed point theorem for compact acyclic multimaps, we will prove a basic existence theorem of… 
2014
2014
Existence and uniqueness of the gradient flow of the Entropy in the space of probability measures
Stefano Bianchini and Alexander Dabrowski, "Existence and uniqueness of the gradient flow of the Entropy in the space of… 
2011
2011
Tifinagh Character Recognition Using Geodesic Distances, Decision Trees & Neural Networks
The recognition of Tifinagh characters cannot be perfectly carried out using the conventional methods which are based on the… 
2010
2010
Invariants of Lines on Surfaces in $\R^4$
Considering the tangent plane at a point to a surface in the four-dimensional Euclidean space, we find an invariant of a pair of… 
2009
2009
Integral Formula for the Characteristic Cauchy Problem on a curved Background Jérémie Joudioux
We give a local integral formula, valid on general curved space-times, for the characteristic Cauchy problem for the Dirac… 
2008
2008
On the weak closure of convex sets of Probability measures
We prove that a closed, geodesically convex subset C of P 2 (R) is closed with respect to weak convergence in P 2 (R). This means… 
2002
2002
COMPOSITIONS, GENERATED BY SPECIAL NETS IN AFFINELY CONNECTED SPACES
Let a net (v 1 , v 2 , . . . v N ) be given in the space AN with an affine connectedness Γσαβ , without a torsion . If the… 
2000
2000
New Special Geodesic Mappings of Generalized Riemannian Spaces