Counterexample to a geodesic length conjecture on the 2-sphere
Mikhail G. Katz
TL;DR
This paper addresses a conjecture about geodesic lengths on the 2-sphere by providing a counterexample, challenging previous assumptions in differential geometry.
Contribution
The paper presents a counterexample to a longstanding conjecture regarding geodesic lengths on the 2-sphere, offering new insights into geometric properties.
Findings
Counterexample disproves the conjecture
Implications for geometric length estimates
Challenges existing theoretical assumptions
Abstract
Paper withdrawn by the author.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Geometry and complex manifolds