Abstract

This chapter discusses the concept of mean curvature of immersed manifolds, immersions in Riemannian manifolds, and conformal invariants. It discusses immersions in Riemannian manifolds by highlighting a general case of immersions of M as a hypersurface of an arbitrary Riemannian manifold M' of dimension m + 1. It discusses the concept of conformal invariants through the case of an m-dimensional manifold M immersed in a Riemannian manifold M' of dimension m + 1.

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