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Finally, hyperbolicity of the Riemann surface is exploited to ensure that there is a hermitian metric of constant negative curvature such that the group of all holomorphic
To prepare the reader for the construction issues of the exclusion process that will be addressed in Section 2, we discuss here the construction of countable state Markov chains,
Theorem 1 On a strictly convex surface Σ ⊂ R 3 there exists a closed geodesic whose length is less than or equal to one half the total mean curvature of Σ.. The proofs and
In Section 2 we discuss the connection between the decomposition of a Hankel matrix and Stieltjes matrices, and in Section 3 we discuss the connection between certain lattice paths
Chen [3] established a sharp inequality for the warping function of a warped product submanifold in a Riemannian space form in terms of the squared mean curvature.. For a survey
We stress that, even if in the present article we have made our main reference to the case of a restoring field g(x) having superlinear growth at infinity (like in [16] and in [52]
It is known from Watanabe’s result [9] that a three-dimensional Sasakian mani- fold is locally φ - symmetric if and only if the scalar curvature r is constant.. Using Watanabe’s
Until now, we focused on the group evaluation of a single object and showed that the quasilinear mean satisfies the consistency conditions Eqs. We shall discuss now how can we
