PreprintarXiv licencearXiv
The index of conformal Hopf maps
Abstract
We compute the index and nullity of any harmonic morphism from S3 to S2.
Related
- On simplicial maps with non-zero Hopf invariant
- A Hopf Lemma for Holomorphic Maps into Hyperquadrics
- Harmonic-Einstein maps and critical metrics for eigenvalues of the conformal Laplacian
- Componentwise rigidity of holomorphic isometric maps between bounded symmetric domains with negative conformal factors
- Markov maps and quasi-conformal deformations associated to geometrically finite Kleinian groups
BibTeX
@misc{loubeau2026index,
title = {{The index of conformal Hopf maps}},
author = {Eric Loubeau and Radu Slobodeanu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.17087},
eprint = {2610.17087},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.17087},
}
RIS
TY - UNPB
TI - The index of conformal Hopf maps
AU - Eric Loubeau
AU - Radu Slobodeanu
PY - 2026
DA - 2026/10/12
PB - arXiv
DO - 10.48550/arxiv.2610.17087
UR - https://arxiv.org/abs/2610.17087
AB - We compute the index and nullity of any harmonic morphism from S^3 to S^2.
ER -