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contact Riemannian manifold; harmonic curvature; $D$-homothetic deformation

References:

[1] Baikoussis C., Koufogiorgos T.: **On a type of contact manifolds**. to appear in Journal of Geometry. MR 1205692

[2] Blair D.E.: **Contact manifolds in Riemannian geometry**. Lecture Notes in Mathematics 509, Springer-Verlag, Berlin, 1979. MR 0467588 | Zbl 0319.53026

[3] Blair D.E.: **Two remarks on contact metric structures**. Tôhoku Math. J. 29 (1977), 319-324. MR 0464108 | Zbl 0376.53021

[4] Blair D.E., Koufogiorgos T., Papantoniou B.J.: **Contact metric manifolds with characteristic vector field satisfying $R(X,Y)\xi =k(\eta (Y)X-\eta (X)Y)+\mu (\eta (Y)hX-\eta (X)hY)$**. submitted.

[5] Deng S.R.: **Variational problems on contact manifolds**. Thesis, Michigan State University, 1991.

[6] Koufogiorgos T.: **Contact metric manifolds**. to appear in Annals of Global Analysis and Geometry. MR 1201408

[7] Tanno S.: **Ricci curvatures of contact Riemannian manifolds**. Tôhoku Math J. 40 (1988), 441-448. MR 0957055 | Zbl 0655.53035