Let <math>M</math> be a Riemannian n-manifold with metric <math>g</math>. The Hodge star operator is a linear operator from i-differential forms to (n-i)-differential forms | Let <math>M</math> be a Riemannian n-manifold with metric <math>g</math>. The Hodge star operator is a linear operator from i-differential forms to (n-i)-differential forms |