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َContact manifold A $(2n + 1)$-dimensional manifold $M$ is said to be a contact manifold if it admits a global 1-form $\eta$ such that $\eta\wedge (d\eta)^n\neq 0$. There is an equivalent defi …

An interesting class of contact manifolds is the class of $K$-contact manifolds ($\mathcal{L}_\xi g=0$) which have been studied by many authors. It is natural to study conformal Killing-contact manifo …

For a contact metric manifold $M$ we observe that $J = \varphi_{\vert D}$, i.e. the restriction of $\varphi$ to the contact distribution, defines an almost complex structure on $D=\ker\eta$. Then the …

Many authors used the Tanaka connection in their papers such as [1] to define new Tanaka connection so-called Generalized Tanaka connection $^*\nabla$ on a contact Riemannian manifold $(M,\eta,\xi,\p …