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Boundary volume and length spectra of Riemannian manifolds: what the middle degree Hodge spectrum doesn't reveal

Carolyn S. Gordon, Juan Pablo Rossetti (2003)

Annales de l'Institut Fourier

Let $M$ be a $2 m$ -dimensional compact Riemannian manifold. We show that the spectrum of the Hodge Laplacian acting on $m$ -forms does not determine whether the manifold has boundary, nor does it determine the lengths of the closed geodesics. Among the many examples are a projective space and a hemisphere that have the same Hodge spectrum on 1- forms, and hyperbolic surfaces, mutually isospectral on 1-forms, with different injectivity radii. The Hodge $m$ -spectrum also does not distinguish orbifolds from manifolds....

Bounded Harmonic Functions and Positive Ricci Curvature.

Harold Donnelly (1986)

Mathematische Zeitschrift

Bounded Kähler class rigidity of actions on hermitian symmetric spaces

Marc Burger, Alessandra Iozzi (2004)

Annales scientifiques de l'École Normale Supérieure

Bounds on the Dimension of L2-Holomorphic Sections of Vector Bundles over Complete Kähler Manifolds of Finite Volume.

Ngaiming Mog (1986)

Mathematische Zeitschrift

Brackets and curvature. (Corchete y curvatura.)

Di Scala, Antonio J. (2005)

Revista Colombiana de Matemáticas

Branch Points of Conformal Mappings of Surfaces.

J. Eschenburg, R. Tribuzy (1987/1988)

Mathematische Annalen

Branched Immersions of Surfaces and Reduction of Topological Type. II.

Robert Gulliver (1977)

Mathematische Annalen

Branched ...-structures on surfaces with prescribed real holonomy.

Ser Peow Tan (1994)

Mathematische Annalen

Branson's $Q$ -curvature in Riemannian and spin geometry.

Hijazi, Oussama, Raulot, Simon (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Brézis-Wainger inequality on Riemannian manifolds.

Górka, Przemysław (2008)

Journal of Inequalities and Applications [electronic only]

Brief comments on the Note «Qualche osservazione sulle forze centrali in Relatività Ristretta» of Luigi Stazi

Joachim Stubbe, Valentino L. Telegdi (1995)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

The central «pseudopotentials» yielding, in relativistic mechanics, closed (bounded) orbits for any given energy are derived by inspection (of the algebraic form of the hamiltonian).

Brownian motion and stereographic projection

T. K. Carne (1985)

Annales de l'I.H.P. Probabilités et statistiques

Brownian motion on a surface of negative curvature

Wilfrid S. Kendall (1984)

Séminaire de probabilités de Strasbourg

Brownian motion with respect to time-changing riemannian metrics, applications to Ricci flow

Koléhè A. Coulibaly-Pasquier (2011)

Annales de l'I.H.P. Probabilités et statistiques

We generalize brownian motion on a riemannian manifold to the case of a family of metrics which depends on time. Such questions are natural for equations like the heat equation with respect to time dependent laplacians (inhomogeneous diffusions). In this paper we are in particular interested in the Ricci flow which provides an intrinsic family of time dependent metrics. We give a notion of parallel transport along this brownian motion, and establish a generalization of the Dohrn–Guerra or damped...

BRS-transformations in a finite dimensional setting

Kraus, Margareta (1997)

Proceedings of the 16th Winter School "Geometry and Physics"

Summary: In order to get a mathematical understanding of the BRS-transformation and the Slavnov-Taylor identities, we treat them in a finite dimensional setting. We show that in this setting the BRS-transformation is a vector field on a certain supermanifold. The connection to the BRS-complex will be established. Finally we treat the generating functional and the Slavnov-Taylor identity in this setting.

Bubbletons in 3-dimensional space forms.

Kobayashi, Shimpei (2004)

Balkan Journal of Geometry and its Applications (BJGA)

Bubbling on boundary submanifolds for the Lin–Ni–Takagi problem at higher critical exponents

Manuel del Pino, Fethi Mahmudi, Monica Musso (2014)

Journal of the European Mathematical Society

Let $Ω$ be a bounded domain in $ℝ^{n}$ with smooth boundary $\partial Ω$ . We consider the equation $d^{2} Δ u - u + u^{\frac{n - k + 2}{n - k - 2}} = 0 in Ω$ , under zero Neumann boundary conditions, where $Ω$ is open, smooth and bounded and $d$ is a small positive parameter. We assume that there is a $k$ -dimensional closed, embedded minimal submanifold $K$ of $\partial Ω$ , which is non-degenerate, and certain weighted average of sectional curvatures of $\partial Ω$ is positive along $K$ . Then we prove the existence of a sequence $d = d_{j} \to 0$ and a positive solution $u_{d}$ such that $d^{2} {| \nabla u_{d} |}^{2} ⇀ S δ_{K} as d \to 0$ in the sense of measures, where $δ_{K}$ ...

Currently displaying 101 – 120 of 121

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Displaying 101 – 120 of 121

Boundary volume and length spectra of Riemannian manifolds: what the middle degree Hodge spectrum doesn't reveal

Bounded Harmonic Functions and Positive Ricci Curvature.

Bounded Kähler class rigidity of actions on hermitian symmetric spaces

Bounds on the Dimension of L2-Holomorphic Sections of Vector Bundles over Complete Kähler Manifolds of Finite Volume.

Brackets and curvature. (Corchete y curvatura.)

Branch Points of Conformal Mappings of Surfaces.

Branched Immersions of Surfaces and Reduction of Topological Type. II.

Branched ...-structures on surfaces with prescribed real holonomy.

Branson's $Q$ -curvature in Riemannian and spin geometry.

Brézis-Wainger inequality on Riemannian manifolds.

Brief comments on the Note «Qualche osservazione sulle forze centrali in Relatività Ristretta» of Luigi Stazi

Brownian motion and stereographic projection

Brownian motion on a surface of negative curvature

Brownian motion with respect to time-changing riemannian metrics, applications to Ricci flow

BRS-transformations in a finite dimensional setting

Bubbletons in 3-dimensional space forms.

Bubbling on boundary submanifolds for the Lin–Ni–Takagi problem at higher critical exponents

Busemann Functions and Total Curvature.

B.Y. Chen inequalities for bi-slant submanifolds in generalized complex space forms.

B.-Y. Chen inequalities for semislant submanifolds in Sasakian space forms.

Currently displaying 101 – 120 of 121