Publication: Tits geometry associated with 4-dimensional closed real-analytic manifolds of nonpositive curvature
Tits geometry associated with 4-dimensional closed real-analytic manifolds of nonpositive curvature
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Hummel, C., & Schroeder, V. (1998). Tits geometry associated with 4-dimensional closed real-analytic manifolds of nonpositive curvature. Journal of Differential Geometry, 48(3), 531–555. https://doi.org/10.4310/jdg/1214460862
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We investigate the geometry and topology of the Tits boundary associated with 4-dimensional closed, real-analytic manifolds of nonpositive curvature. We show that each homotopically nontrivial component is a union of geometric boundaries of flats in the corresponding Hadamard manifold and this can be used to describe the structure of its maximal dimensional quasi-flats. The homotopically trivial components are intervals of length smaller than π and we give a necessary and sufficient criterion for the existence of such intervals of len
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- Hummel, C
- Schroeder, Viktor
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Hummel, C., & Schroeder, V. (1998). Tits geometry associated with 4-dimensional closed real-analytic manifolds of nonpositive curvature. Journal of Differential Geometry, 48(3), 531–555. https://doi.org/10.4310/jdg/1214460862
