PreprintCC BY 4.0arXiv
Minimizing tangent maps into complex projective space
Abstract
We classify all nonconstant smooth harmonic maps π2β ββn and π3β ββn whose 0-homogeneous extensions are minimizing: they are, respectively, isometric embeddings or holomorphic isometric embeddings composed with a Hopf map.
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BibTeX
@misc{gianocca2026minimizing,
title = {{Minimizing tangent maps into complex projective space}},
author = {Matilde Gianocca and AndrΓ© Guerra and David Ziener},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.13214},
eprint = {2610.13214},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.13214},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Minimizing tangent maps into complex projective space
AU - Matilde Gianocca
AU - AndrΓ© Guerra
AU - David Ziener
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2610.13214
UR - https://arxiv.org/abs/2610.13214
AB - We classify all nonconstant smooth harmonic maps π^2β ββ^n and π^3β ββ^n whose 0-homogeneous extensions are minimizing: they are, respectively, isometric embeddings or holomorphic isometric embeddings composed with a Hopf map.
ER -