McLean's second variation formula revisited
H\^ong V\^an L\^e, Jir\'i Vanzura
TL;DR
This paper revisits and corrects McLean's second variation formulas for calibrated submanifolds in exceptional geometries, providing a unified approach using calibration methods and Harvey-Lawson's identities.
Contribution
It offers corrected and unified second variation formulas for associative and Cayley submanifolds in exceptional geometries.
Findings
Corrected McLean's second variation formulas for associative and Cayley submanifolds.
Unified treatment based on calibration methods and Harvey-Lawson's identities.
Enhanced understanding of stability and deformation of calibrated submanifolds.
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.
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