From harmonic mappings to Ricci solitons
Sergey Stepanov, Irina Tsyganok
TL;DR
This paper explores the global geometric properties of harmonic mappings and transformations, applying these insights to advance the understanding of Ricci solitons in differential geometry.
Contribution
It introduces new connections between harmonic mappings and Ricci solitons, enriching the theoretical framework of geometric analysis.
Findings
Characterization of harmonic mappings in relation to Ricci solitons
New applications of harmonic transformations to Ricci flow
Insights into the structure of Ricci solitons
Abstract
The paper is devoted to the study of the global geometries of harmonic mappings and infinitesimal harmonic transformations and presents their applications to the theory of Ricci solitons.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Algebraic and Geometric Analysis