Mean curvature comparison for tubular hypersurfaces in Kähler manifolds and some applications

Vicente Miquel; Vicente Palmer

Displaying similar documents to “Mean curvature comparison for tubular hypersurfaces in Kähler manifolds and some applications”

The third Betti number of a positively pinched riemannian six manifold

Walter Seaman (1986)

Annales de l'institut Fourier

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We prove that if the sectional curvature, $K$ , of a compact 6-manifold without boundary satisfies $1 \geq K > (4 \sqrt{10} - 4) / (4 \sqrt{10} + 23) ≅ . 2426,$ then its third (real) Betti number is zero.

Convergence theorem for riemannian manifolds with boundary

Shigeru Kodani (1990)

Compositio Mathematica

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Harnack inequalities on a manifold with positive or negative Ricci curvature.

Dominique Bakry, Zhongmin M. Qian (1999)

Revista Matemática Iberoamericana

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Several new Harnack estimates for positive solutions of the heat equation on a complete Riemannian manifold with Ricci curvature bounded below by a positive (or a negative) constant are established. These estimates are sharp both for small time, for large time and for large distance, and lead to new estimates for the heat kernel of a manifold with Ricci curvature bounded below.

Cramér's formula for Heisenberg manifolds

Mahta Khosravi, John A. Toth (2005)

Annales de l'institut Fourier

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Let $R (λ)$ be the error term in Weyl’s law for a 3-dimensional Riemannian Heisenberg manifold. We prove that $\int_{1}^{T} {| R (t) |}^{2} d t = c T^{\frac{5}{2}} + O_{δ} (T^{\frac{9}{4} + δ})$ , where $c$ is a specific nonzero constant and $δ$ is an arbitrary small positive number. This is consistent with the conjecture of Petridis and Toth stating that $R (t) = O_{δ} (t^{\frac{3}{4} + δ})$ .The idea of the proof is to use the Poisson summation formula to write the error term in a form which can be estimated by the method of the stationary phase. The similar result will be also proven in the $2 n + 1$ -dimensional case. ...

On the product of the conjugates outside the unit circle of an algebraic integer

A. Bazylewicz (1976)

Acta Arithmetica

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On equations with reflection

D. Przeworska-Rolewicz (1969)

Studia Mathematica

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Short-time heat flow and functions of bounded variation in $R^{N}$

Michele Miranda, Diego Pallara, Fabio Paronetto, Marc Preunkert (2007)

Annales de la faculté des sciences de Toulouse Mathématiques

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We prove a characterisation of sets with finite perimeter and $B V$ functions in terms of the short time behaviour of the heat semigroup in $R^{N}$ . For sets with smooth boundary a more precise result is shown.

Displaying similar documents to “Mean curvature comparison for tubular hypersurfaces in Kähler manifolds and some applications”

The third Betti number of a positively pinched riemannian six manifold

Convergence theorem for riemannian manifolds with boundary

Harnack inequalities on a manifold with positive or negative Ricci curvature.

Cramér's formula for Heisenberg manifolds

On the product of the conjugates outside the unit circle of an algebraic integer

On equations with reflection

Short-time heat flow and functions of bounded variation in R N

Short-time heat flow and functions of bounded variation in $R^{N}$