HARMONIC TOTALLY REAL MAPS OF THE 3-SPHERE INTO THE COMPLEX PROJECTIVE SPACES

Institutional Repositories DataBase (IRDB) 2026 Open access

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Authors: Isami Koga, Yasuyuki Nagatomo
DOI: 10.18910/103807
Cited by: 0

Abstract

Applying a generalized do Carmo-Wallach theory based on a generalization of Theorem of Tsunero Takahashi, we classify harmonic totally real maps of the 3-sphere into the complex projective spaces. This means that we employ differential geometry of vector bundles with connections and construct the moduli spaces of those maps explicitly.

Fields of Study & Subjects

Advanced Differential Geometry Research Geometry and complex manifolds Geometric Analysis and Curvature Flows

Publication details

Journal / source
Institutional Repositories DataBase (IRDB)
Volume
63
Issue
1
Pages
111–122
Publication date
1 January 2026
Language
EN