Laplace operators in differential geometry
= Laplace operators in differential geometry
{wiki=Laplace_operators_in_differential_geometry}
In differential geometry, the concept of the Laplace operator, often denoted as \\(\\Delta\\) or \\(\\nabla^2\\), is a generalization of the Laplacian from classical analysis to manifolds. It plays a significant role in understanding the geometric and analytical properties of functions defined on a manifold.