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1
M Berger , Les
variétés riemanniennes homogènes normales simplement connexes à
courbure strictement positive , Ann. Scuola Norm. Sup.
Pisa Cl. Sci. 15 (1961) 179 MR133083
2
R L Bishop ,
Decomposition of
cut loci , Proc. Amer. Math. Soc. 65 (1977) 133 MR478066
3
Z Błaszczyk ,
J G Carrasquel-Vera , Topological complexity and
efficiency of motion planning algorithms , Rev. Mat.
Iberoam. 34 (2018) 1679 MR3896245
4
G E Bredon ,
Topology
and geometry , 139, Springer (1993) MR1224675
5
D C Cohen , L
Vandembroucq , Topological
complexity of the Klein bottle , J. Appl. Comput. Topol.
1 (2017) 199 MR3975552
6
O Cornea , G
Lupton , J Oprea , D Tanré , Lusternik–Schnirelmann
category , 103, Amer. Math. Soc. (2003) MR1990857
7
R J Crittenden ,
Minimum and
conjugate points in symmetric spaces , Canadian J. Math.
14 (1962) 320 MR137077
8
D M Davis ,
Geodesics
in the configuration spaces of two points in ℝ n , Tbilisi Math. J. 14 (2021) 149
MR4255247
9
D M Davis , M
Harrison , D Recio-Mitter , Two robots moving
geodesically on a tree , Algebr. Geom. Topol. 22 (2022)
785 MR4464465
10
D M Davis , D
Recio-Mitter , The geodesic
complexity of n –dimensional Klein
bottles , New York J. Math. 27 (2021) 296 MR4209536
11
T tom Dieck ,
Algebraic
topology , Eur. Math. Soc. (2008) MR2456045
12
M Farber , Topological
complexity of motion planning , Discrete Comput. Geom.
29 (2003) 211 MR1957228
13
M Farber , Instabilities of
robot motion , Topology Appl. 140 (2004) 245 MR2074919
14
M Farber , Topology of robot
motion planning , from: "Morse theoretic methods in
nonlinear analysis and in symplectic topology" (editors P
Biran, O Cornea, F Lalonde), NATO Sci. Ser. II Math. Phys.
Chem. 217, Springer (2006) 185 MR2276952
15
M Farber , Invitation to topological
robotics , Eur. Math. Soc. (2008) MR2455573
16
M Farber , Configuration
spaces and robot motion planning algorithms , from:
"Combinatorial and toric homotopy" (editors A Darby, J Grbic, Z
Lü, J Wu), Lect. Notes Ser. Inst. Math. Sci. Natl. Univ.
Singap. 35, World Sci. (2018) 263 MR3792464
17
M Frumosu , S
Rosenberg , Lefschetz theory,
geometric Thom forms and the far point set , Tokyo J.
Math. 27 (2004) 337 MR2107507
18
J Gallier , J
Quaintance , Differential
geometry and Lie groups : a computational perspective ,
12, Springer (2020) MR4164718
19
S Gallot , D
Hulin , J Lafontaine , Riemannian
geometry , Springer (2004) MR2088027
20
H Gluck , D
Singer , Scattering of geodesic
fields, I , Ann. of Math. 108 (1978) 347 MR506991
21
M Goresky , R
MacPherson , Stratified Morse
theory , 14, Springer (1988) MR932724
22
A Hatcher , Algebraic
topology , Cambridge Univ. Press (2002) MR1867354
23
S Helgason ,
Differential geometry, Lie groups, and symmetric spaces ,
80, Academic (1978) MR514561
24
J I Itoh , T
Sakai , Cut loci and
distance functions , Math. J. Okayama Univ. 49 (2007) 65
MR2377171
25
S Kobayashi , K
Nomizu , Foundations of differential geometry, I ,
Interscience (1963) MR0152974
26
J M Lee ,
Introduction to
smooth manifolds , 218, Springer (2013) MR2954043
27
J M Lee ,
Introduction to
Riemannian manifolds , 176, Springer (2018) MR3887684
28
M Mainkar , B
Schmidt , Metric foliations
of homogeneous three-spheres , Geom. Dedicata 203 (2019)
73 MR4027585
29
H Mas-Ku , E
Torres-Giese , Motion planning
algorithms for configuration spaces , Bol. Soc. Mat.
Mex. 21 (2015) 265 MR3377991
30
J R Munkres ,
Topology: a first course , Prentice-Hall (1975) MR0464128
31
B O’Neill ,
Semi-Riemannian geometry : with applications to
relativity , 103, Academic (1983) MR719023
32
V Ozols , Cut loci in Riemannian
manifolds , Tohoku Math. J. 26 (1974) 219 MR390967
33
P Petersen ,
Riemannian
geometry , 171, Springer (2016) MR3469435
34
D Recio-Mitter ,
Geodesic
complexity of motion planning , J. Appl. Comput. Topol.
5 (2021) 141 MR4224156
35
T Sakai , On cut loci of
compact symmetric spaces , Hokkaido Math. J. 6 (1977)
136 MR643657
36
T Sakai , On the structure of cut
loci in compact Riemannian symmetric spaces , Math. Ann.
235 (1978) 129 MR500710
37
T Sakai , Cut loci
of compact symmetric spaces , from: "Minimal submanifolds
and geodesics" (editor M Obata), North-Holland (1979) 193
MR574265
38
T Sakai , Cut loci of
Berger’s spheres , Hokkaido Math. J. 10 (1981) 143
MR616949
39
A S Schwarz ,
The genus of a fiber
space , Trudy Moskov. Mat. Obšč. 10 (1961) 217 MR0154284
40
A D Weinstein ,
The cut locus and
conjugate locus of a riemannian manifold , Ann. of Math.
87 (1968) 29 MR221434