Visibility and rank one in homogeneous spaces of $K\leq 0$
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- by María J. Druetta PDF
- Trans. Amer. Math. Soc. 304 (1987), 307-321 Request permission
Abstract:
In this paper we study relationships between the visibility axiom and rank one in homogeneous spaces of nonpositive curvature. We obtain a complete classification (in terms of rank) of simply connected homogeneous spaces of nonpositive curvature and dimension $\leqslant 4$. We provide examples, in every $\dim \geqslant 4$, of simply connected, irreducible homogeneous spaces $(K \leqslant 0)$ which are neither visibility manifolds nor symmetric spaces.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 304 (1987), 307-321
- MSC: Primary 53C30
- DOI: https://doi.org/10.1090/S0002-9947-1987-0906817-7
- MathSciNet review: 906817