Abstract : By employing a nice adapted frame we prove a Bonnet-type existence and uniqueness theorem for almost complex surfaces in the homogeneous nearly Kähler manifold S3×S3. The proof uses a local correspondence between almost complex surfaces in S3×S3 and surfaces in R3 that satisfy the Wente H-surface equation. Furthermore we give a complete classification of flat almost complex surfaces in the homogeneous nearly Kähler S3×S3.
https://hal-uphf.archives-ouvertes.fr/hal-03148536 Contributor : Julie CagniardConnect in order to contact the contributor Submitted on : Wednesday, July 13, 2022 - 11:26:13 AM Last modification on : Wednesday, July 20, 2022 - 10:09:57 AM