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Bishop and Laplacian comparison theorems on Sasakian manifolds
Communications in analysis and geometry
We prove a Bishop volume comparison theorem and a Laplacian comparison theorem for a natural sub-Riemannian structure defined on Sasakian manifolds. This generalizes to arbitrary dimensions the corresponding three-dimensional results in [1, 5, 6] . 1 Introduction 916 2 Canonical frames and curvatures of a Jacobi curve 919 3 Sasakian manifolds and parallel adapted frames 920 4 Sub-Riemannian geodesic flows and Jacobi curves 923 5 Curvatures of sub-Riemannian geodesic flows 927 6 Conjugate timedoi:10.4310/cag.2018.v26.n4.a8 fatcat:y2trbxnvhnakbosbowmbc2xmza