Universal inequalities on complete noncompact smooth metric measure spaces
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DOI: 10.1007/s00013-017-1099-z
Abstract: In this paper, we obtain universal inequalities for the eigenvalues of the Dirichlet problem and clamped plate problem of drifting Laplacian on ($$n+1$$n+1)-dimensional ($$n\ge 4$$n≥4) complete noncompact simply connected smooth metric measure spaces which meet… read more here.
Keywords: complete noncompact; metric measure; smooth metric; universal inequalities ... See more keywords
On the CR Poincaré–Lelong Equation, Yamabe Steady Solitons and Structures of Complete Noncompact Sasakian Manifolds
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DOI: 10.1007/s10114-018-7342-0
Abstract: In this paper, we solve the so-called CR Poincaré–Lelong equation by solving the CR Poisson equation on a complete noncompact CR (2n + 1)-manifold with nonegative pseudohermitian bisectional curvature tensors and vanishing torsion which is… read more here.
Keywords: complete noncompact; poincar lelong; lelong equation; noncompact sasakian ... See more keywords