Cohomological rigidity of real Bott manifolds

DOI10.2140/agt.2009.9.2479zbMath1195.57071arXiv0807.4263OpenAlexW2963256033MaRDI QIDQ1048473

Mikiya Masuda, Yoshinobu Kamishima

Publication date: 12 January 2010

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.4263

zbMATH Keywords

cohomological rigidityreal toric manifoldflat Riemannian manifoldBott manifoldsreal Bott tower

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (18)

Cohomological rigidity of oriented Hantzsche-Wendt manifolds ⋮ Cohomological non-rigidity of generalized real Bott manifolds of height 2 ⋮ Cohomological rigidity for Fano Bott manifolds ⋮ A counterexample to the HK-conjecture that is principal ⋮ Classification of real Bott manifolds and acyclic digraphs ⋮ Cohomological rigidity of manifolds defined by 3-dimensional polytopes ⋮ Cohomological rigidity and the number of homeomorphism types for small covers over prisms ⋮ Properties of Bott manifolds and cohomological rigidity ⋮ The number of orientable small covers over cubes ⋮ Flat manifolds with holonomy group \(\mathbb{Z}_{2}^{k}\) of diagonal type ⋮ Small covers over products of a simple polytope with a simplex ⋮ Symplectic real Bott manifolds ⋮ A note on small covers over cubes ⋮ Results on the topology of generalized real Bott manifolds ⋮ Diffeomorphism classes of real Bott manifolds ⋮ Rigidity problems in toric topology: a survey ⋮ On the topology of real Bott manifolds ⋮ Cohomological rigidity of the connected sum of three real projective spaces

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