English

McLean's second variation formula revisited

Differential Geometry 2017-02-03 v2

Abstract

We revisit McLean's second variation formulas for calibrated submanifolds in exceptional geometries, and correct his formulas concerning associative submanifolds and Cayley submanifolds, using a unified treatment based on the (relative) calibration method and Harvey-Lawson's identities.

Cite

@article{arxiv.1605.01267,
  title  = {McLean's second variation formula revisited},
  author = {Hông Vân Lê and Jirí Vanzura},
  journal= {arXiv preprint arXiv:1605.01267},
  year   = {2017}
}

Comments

14 p final version. Remark 4.6 on McLean's formula added

R2 v1 2026-06-22T13:53:11.023Z