For any surface bounded by a sphere is there always an upper bound of the set of all lengths of all shortest length geodesics between pairs of points?
68234
Is $[0,1) \cup \{2\}$ a manifold with boundary? My issue is the $2$.
127972
Can distance between two closed sets be zero?
137473
Isoperimetric inequality on the sphere via calculus of variations
61816
Cut points and connected space
94434
Minimum area of the parallelepiped surface
111656
Estimation of the expected Euclidean distance between two random points on a unit $n$-hemisphere
58007
Proof: Show there is set of $n+1$ points in $\mathbb{R}^n$ such that distance between any two distinct points is $1$?
37352
The Gaussian and Mean Curvatures of a Parallel Surface
114795
Closed form for the area of a convex cyclic n-gon, given the set of edge lengths
111561
Distance of a point to a subset.
89789
Spacelike interval and length contraction
12508
Efficient way to generate random points with a predefined lower bound on their pairwise Euclidean distance
111044
Vector path length of a hypotenuse
66185
condition for curve on a sphere
45763
Minkowski diagram and length contraction
108909
Is the unit sphere in $\Bbb R^4$ path connected?
258
Existence of orthogonal coordinates on a Riemannian manifold