Abstract
Curvature invariants are the most natural invariants, with a wide application in science and engineering. A known condition for a Riemannian manifold to admit a minimal immersion in any Euclidean space is \(Ric\le 0\). In order to find other obstructions, one needs to introduce new types of Riemannian invariants, different in nature from classical ones (Chen in pseudo-riemannian geometry, \(\delta \)-invariants and applications, World Scientific, Singapore, 2011). The Chen first inequality for slant submanifolds in Sasakian space forms was established in Carriazo (Kyungpook Math J 39(2):465–476, 1999). In this article, we derive the Chen first inequality for special contact slant submanifolds in Lorentz-Sasakian space forms.
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Postavaru, O., Mihai, I. An optimized Chen first inequality for special slant submanifolds in Lorentz-Sasakian space forms. RACSAM 115, 150 (2021). https://doi.org/10.1007/s13398-021-01089-1
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DOI: https://doi.org/10.1007/s13398-021-01089-1