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Inextensible flows of partially null and pseudo null curves in semi-Euclidean 4-space with index 2. (English) Zbl 1474.53262

Summary: In this paper, we consider the inextensible flows in semi-Euclidean 4-space with index \(2 (\mathbb E^4_2)\). We give the necessary and sufficient conditions for the flow to be inextensible and we find the evolution equations for the inextensible flows in semi-Euclidean 4-space with index \(2 (\mathbb E^4_2)\).

MSC:

53C40 Global submanifolds
53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
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