QUALIFYING EXAMINATION Harvard University Department of Mathematics Tuesday, March 12 (DayLet X be a compact n-dimensional differentiable manifold, and Y ⊂ X a closed submanifold of dimension m. Show that the E

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EXTREMAL FUNCTIONS FOR MOSER-TRUDINGER TYPE INEQUALITY ON COMPACT CLOSED 4-MANIFOLDS YUXIANG LI, CHEIKH BIRAHIM NDIAYE Abstract. Given a compact closed four dimensional smooth Riemannian manifold, we prove existence of e

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¨ THREE-MANIFOLDS AND KAHLER GROUPS D. KOTSCHICK A BSTRACT. We give a simple proof of a result originally due to Dimca and Suciu [6]: a group that is both K¨ahler and the fundamental group of a closed three-manifold is

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Normal trajectories in stationary spacetimes with critical asymptotic behavior Rossella Bartolo1 and Anna Maria Candela2 1 2

Source URL: galia.fc.uaslp.mx

• Differential forms
• Mathematics
• Static spacetime
• Riemannian manifold
• Closed and exact differential forms
• Theoretical physics
• Differential topology
• Differential geometry
• Riemannian geometry

Closed Geodesics and the Free Loop Space Hans-Bert Rademacher (Universit¨ at Leipzig) Workshop on Symplectic Dynamics and Hamiltonian Systems,

Source URL: www.math.uni-leipzig.de

• Geometry
• Riemannian geometry
• Differential geometry
• Connection
• Theoretical physics
• Curvature
• Bernhard Riemann
• Levi-Civita connection
• Geodesic
• Torsion tensor
• Finsler manifold
• Fundamental theorem of Riemannian geometry

Closed Geodesics in Lorentzian Surfaces Stefan Suhr April 25, 2011 Email: G. Galloway proved in [1] that every closed Lorentzian surface contains at least one closed timelike or null geodesic. From the

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• Theoretical physics
• Physics
• Differential geometry
• Geometry
• Dynamical systems
• Theory of relativity
• Lorentzian manifolds
• Closed geodesic
• Differential geometry of surfaces
• Geodesic
• Spacetime
• Pseudo-Riemannian manifold

CMC foliations of closed manifolds William H. Meeks III∗ Joaqu´ın P´erez †

Source URL: arxiv.org

• Differential topology
• Topology
• Foliations
• Mathematics
• Taut foliation
• 3-manifold
• Reeb foliation
• Differential geometry of surfaces
• Volume form
• Manifold
• Curvature
• Ricci curvature

Classical Mechanics, Lecture 19 March 13, 2008 lecture by John Baez notes by Alex Hoffnung 1

Source URL: math.ucr.edu

• Mathematical analysis
• Mathematics
• Theoretical physics
• Operator theory
• Differential geometry
• Functional analysis
• Hilbert space
• Tensor product of Hilbert spaces
• Poisson manifold
• Cartesian closed category
• Linear temporal logic

The second closed geodesic on the complex projective plane ∗ Hans-Bert Rademacher Abstract We show the existence of at least two geometrically distinct closed

Source URL: www.math.uni-leipzig.de

• Differential geometry
• Finsler geometry
• Dynamical systems
• Geodesic
• Finsler manifold
• Closed geodesic
• Jacobi field

NATURAL BOUNDARY VALUE PROBLEMS FOR WEIGHTED FORM LAPLACIANS WOJCIECH KOZLOWSKI Gradients in the sense of Stein and Weiss are O(n)-irreducible parts of ∇, the covariant derivative of an Riemannian manifold M of dimensi

Source URL: foliations2016.math.uni.lodz.pl

• Differential forms
• Harmonic functions
• Differential geometry
• Riemannian geometry
• Connection
• Laplace operator
• Vector field
• Vector space
• Hodge dual
• Closed and exact differential forms
• Differential forms on a Riemann surface
• Holonomy