Classification and characterization of rationally elliptic manifolds in low dimensions

DOI10.1007/s00209-017-1927-7zbMath1423.55017arXiv1409.8036OpenAlexW2963610394MaRDI QIDQ1745320

Xianqiang Yang

Publication date: 17 April 2018

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.8036

zbMATH Keywords

minimal modelscohomology ringrationally elliptic spacesrationally elliptic manifolds

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Rational homotopy theory (55P62) Algebraic topology on manifolds and differential topology (57R19)

Related Items (5)

On geometric formality of rationally elliptic manifolds in dimensions 6 and 7 ⋮ Self-products of rationally elliptic spaces and inequalities between the ranks of homotopy and homology groups ⋮ Manifolds that admit a double disk-bundle decomposition ⋮ Positive curvature and symmetry in small dimensions ⋮ Rationally elliptic toric varieties

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