totally geodesic
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Glossary 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… … Wikipedia
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Soul 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… … Wikipedia
Holonomy — Parallel transport on a sphere depends on the path. Transporting from A → N → B → A yields a vector different from the initial vector. This failure to return to the initial vector is measured by the holonomy of the connection. In differential… … Wikipedia
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General relativity — For a generally accessible and less technical introduction to the topic, see Introduction to general relativity. General relativity Introduction Mathematical formulation Resources … Wikipedia
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