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On completeness of certain families of semi-Riemannian manifolds

✍ Scribed by Alfonso Romero; Miguel Sánchez


Publisher
Springer
Year
1994
Tongue
English
Weight
883 KB
Volume
53
Category
Article
ISSN
0046-5755

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On totally umbilic submanifolds of semi-
✍ Volker Perlick 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 120 KB

The notion of being totally umbilic is considered for non-degenerate and degenerate submanifolds of semi-Riemannian manifolds. After some remarks on the general case, timelike and lightlike totally umbilic submanifolds of Lorentzian manifolds are discussed, along with their physical interpretation i