Let M be a ROSS (see 3.16). The fact that its isometry group is transitive on UM or on pairs of equidistant points implies that a lot of things do not really depend on m and n in M but only on the distance between them ϱ(m, n). We shall mainly consider two objects.
KeywordsRiemannian Manifold Symmetric Space Sectional Curvature Conjugate Point Einstein Manifold
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