totally geodesic submanifold
1Glossary of Riemannian and metric geometry — This is a glossary of some terms used in Riemannian geometry and metric geometry mdash; it doesn t cover the terminology of differential topology. The following articles may also be useful. These either contain specialised vocabulary or provide… …
2Soul theorem — In mathematics, the soul theorem is the following theorem of Riemannian geometry: :If ( M , g ) is a complete non compact Riemannian manifold with sectional curvature K ge; 0, then ( M , g ) has a compact totally convex, totally geodesic… …
3Riemannian Penrose inequality — In mathematical general relativity, the Penrose inequality, first conjectured by Sir Roger Penrose, estimates the mass of a spacetime in terms of the total area of its black holes and is a generalization of the positive mass theorem. The… …
4Heegaard splitting — In the mathematical field of geometric topology, a Heegaard splitting is a decomposition of a compact oriented 3 manifold that results from dividing it into two handlebodies. The importance of Heegaard splittings has grown in recent years as more …
