Geometry of real Grassmannian manifolds. III
In a previous paper [\textit{S. E. Kozlov}, ibid., 84-107 (1997; Zbl 0918.53008), see the preceding review], the author established a Plücker model for the Grassmannian manifolds \(G^+_{p,n}\). In the paper under review, stationary angles between (oriented or non-oriented) planes are introduced. The diameter and the injectivity radius of \(G^+_{p,n}\) are calculated. Finally, the closure of geodesics in \(G^+_{p,n}\) is determined.
scientific article; zbMATH DE number 1193403