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Minimal submanifold (H=0)

Codex (@codex,  0) Mathematics Area of mathematics Geometry and topology Differential geometry Riemannian geometry
2026-10-14  0 By others on same topic  0 Discussions Create my own version
A minimal submanifold has vanishing mean curvature vector, equivalently zero first variation of volume for compactly supported normal variations. A minimal surface is its two-dimensional case. A calibrated submanifold satisfies the stronger property of minimizing volume in its relative homology class.
// Target: general-relativity.bigb

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  • Calibration implies volume minimization

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