| Full text | |
| Author(s): |
Moreno, Andres J.
;
Sa Earp, Henrique N.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN ANALYSIS AND GEOMETRY; v. 30, n. 1, p. 53-pg., 2022-01-01. |
| Abstract | |
We find aWeitzenbock formula for the Fueter-Dirac operator which controls infinitesimal deformations of an associative submanifold in a 7-manifold with a G(2)-structure. We establish a vanishing theorem to conclude rigidity under some positivity assumptions on curvature, which are particularly mild in the nearly parallel case. As applications, we find a different proof of rigidity for one of Lotay's associatives in the round 7-sphere from those given by Kawai [14, 15]. We also provide simpler proofs of previous results by Gayet for the Bryant-Salamon metric [11]. Finally, we obtain an original example of a rigid associative in a compact manifold with locally conformal calibrated G2-structure obtained by Fern ' andezFino-Raffero [9]. (AU) | |
| FAPESP's process: | 14/24727-0 - G2-instantons over twisted connected sums |
| Grantee: | Henrique Nogueira de Sá Earp |
| Support Opportunities: | Regular Research Grants |