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To find their values at specific values of {eq}x {/eq}, we can employ the following inverse hyperbolic identities: {eq}\displaystyle cosh^{-1}(x)=\ln(x+ \sqrt{x^2-1}) {/eq} {eq}\displaystyle sech^{-1}(...
In Sect.7we study the geometry of a three-manifoldMdetermined by the existence of a bi-contact metric structure. We characterize the existence of a bi-contact metric structure(\eta _1,\eta _2,g)onMby the condition that(\eta _1,\eta _2)is a(-\varepsilon )-Cartan structure (cf. T...