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Reveals the role of differential operators in Riemannian manifolds, suggesting new contexts for symmetric tensors and grad div operator applications.
The main subject of this paper is the theme of differential operators defined for symmetric tensors on a Riemannian manifold and introduced in several new contexts. Some examples for 2-tensors are given and then the grad div operator for symmetric vector forms is defined. A few original operators in Rn related with grad div operator are discussed. Finally, important notions such as the Kenmotsu manifold, with some interesting examples, are also presented.
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Anna Kimaczyńska (2026) studied this question.
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