2
$\begingroup$

What is the higher dimensional analogue for the arc of a circle?

I'd like to work with the set of all points lying within a certain distance of a given point on an n-sphere, and I'd like to describe these sets by the (generalised) solid angles which they subtend.

  • 3
    A spherical wedge, or a spherical cap?2012-08-01
  • 0
    Or hyperspherical, as the case may be. It's easy to denote it as an intersection of a ball and a sphere.2012-08-01
  • 0
    @J.M. Make that an answer, would you please?2012-08-01

1 Answers 1

2

By request:

It seems you want either the spherical cap or the spherical wedge, or hyperspherical versions thereof.

  • 0
    Thanks, just what I was looking for. Thanks also to anon.2012-08-01