A note on nonnegative curvature and (rational) homotopy type
Anand Dessai, Wilderich Tuschmann
TL;DR
This paper explores the relationship between nonnegative curvature and (rational) homotopy type, addressing a specific question posed by Felix, Oprea, and Tanre.
Contribution
It provides insights into how nonnegative curvature influences the rational homotopy type of manifolds, advancing understanding in geometric topology.
Findings
Clarifies the connection between curvature and homotopy type
Addresses an open question in the field
Provides new theoretical insights
Abstract
We discuss a question by Felix, Oprea, and Tanre concerning nonnegative curvature and (rational) homotopy type.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic and Geometric Analysis