A class of locally $\varphi $-symmetric contact metric spaces
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We prove that a non-Sasakian contact metric manifold such that its characteristic vector field belongs to the \((k,\mu )\)-nullity distribution, is locally homogeneous. Further, these spaces are all locally \(\varphi \)-symmetric in the strong sense, i.e., the reflections with respect to characteristic curves are local isometries.
KeywordsVector Field Characteristic Vector Strong Sense Characteristic Curf Nullity Distribution
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