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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

Semantic Scholar uses AI to extract papers important to this topic.
2013
2013
The 1-Harmonic Flow with Values into S1
We introduce a notion of solution for the $1$-harmonic flow, i.e., the formal gradient flow of the total variation functional… 
2013
2013
Geodesic mappings of (pseudo-) Riemannian manifolds preserve the class of differentiability
In this paper we prove that geodesic mappings of (pseudo-) Riemannian manifolds preserve the class of differentiability \hbox{$(C… 
2011
2011
Totally Geodesic Subalgebras of Nilpotent Lie algebras
A metric Lie algebra g is a Lie algebra equipped with an inner product. A subalgebra h of a metric Lie algebra g is said to be… 
2011
2011
On displacement interpolation of measures involved in Brenier’s theorem
We prove that in the Wasserstein space built over R the subset of measures that does not charge the non-differentiability set of… 
2011
2011
Totally Geodesic Subalgebras of Filiform Nilpotent Lie algebras
We determine the maximal dimension of totally geodesic subalgebras of N-graded filiform Lie algebras, and we show that these… 
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… 
2009
2009
On the geodesic pre-hull number of a graph
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
1986
1986
TOTALLY GEODESIC FOLIATIONS ON 4-MANIFOLDS
We give a rather detailed description of the behavior of 2-dimensional totally geodesic foliations on compact Riemannian 4… 
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