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Closed manifold
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41	K¨ ahler manifolds, lecture 4 M. Verbitsky K¨ Add to Reading List Source URL: verbit.ru Language: English - Date: 2010-12-23 07:06:09 Differential forms Exterior algebra De Rham cohomology Hodge theory Hodge structure Riemannian manifold Vector space Holonomy Closed and exact differential forms Algebra Mathematics Abstract algebra
42	Positive currents and multiplier ideals M. Verbitsky Hyperk¨ ahler SYZ conjecture Add to Reading List Source URL: verbit.ru Language: English - Date: 2009-06-08 01:21:33 Fourier analysis Plurisubharmonic function Positive current Subharmonic function Current Multiplier Hermitian manifold Closed and exact differential forms Riemannian manifold Mathematical analysis Several complex variables Complex manifolds
43	Geometry of manifolds, lecture 12 M. Verbitsky Geometry of manifolds Lecture 12: Poincar´ Add to Reading List Source URL: verbit.ru Language: English - Date: 2013-05-16 04:45:29 Differential forms Differential geometry Differentiable manifold De Rham cohomology Exterior algebra Lie derivative Closed and exact differential forms Pullback Vector space Algebra Mathematics Mathematical analysis
44	What Makes Time Special Craig Callender Department of Philosophy, UCSD, La Jolla, CA 92093, USA What is the difference between time and space? This question, once a central one in metaphysics, has not been treated kindly Add to Reading List Source URL: ws5.com Language: English - Date: 2009-01-29 08:14:32 Relativity Mathematical physics General relativity Exact solutions in general relativity Globally hyperbolic manifold Closed timelike curve Partial differential equation Spacetime Hyperbolic partial differential equation Physics Theoretical physics Lorentzian manifolds
45	A symplectic manifold .M; !/ is a smooth manifold M endowed with a nondegenerate and closed 2-form !. By Darboux’s Theorem such a manifold looks locally like an open set in some R2n Š Cn with the standard symplectic f Add to Reading List Source URL: www.numerical-yoga-guru-rupnathji.net46.net Language: English - Date: 2013-02-20 06:10:39 Physics Hamiltonian mechanics Symplectic topology Symplectic manifold Symplectomorphism Contact geometry Symplectic vector space Non-squeezing theorem Gromov–Witten invariant Differential topology Symplectic geometry Theoretical physics
46	Abstract. We show that the number of gods in a universe must equal the Euler characteristics of its underlying manifold. By incorporating the classical cosmological argument for creation, this result builds a bridge betw Add to Reading List Source URL: www.particle-physicist-yogi-rupnathji.net78.net Language: English - Date: 2013-01-18 06:15:10 Geometric topology Differential geometry Differential topology Manifolds Euler characteristic Topological manifold Euclidean space Surface Closed manifold Topology Space Geometry
47	The complex Plateau problem Pierre Dolbeault Abstract. The classical Plateau problem is the research of a surface of minimal area, in the 3-dimensional Euclidean space, whose boundary is a given continuous closed curve; Add to Reading List Source URL: pierre.dolbeault.free.fr Language: English - Date: 2010-02-05 02:29:09 Complex manifolds Hermitian manifold Riemannian geometry Analytic function Holomorphic function Differential form Vector space Current Almost complex manifold Algebra Mathematics Mathematical analysis
48	ON THE CONSTRUCTION OF ISOSPECTRAL MANIFOLDS WERNER BALLMANN A BSTRACT. We derive a criterion for closed Riemannian manifolds Add to Reading List Source URL: www.ima.umn.edu Language: English - Date: 2001-07-18 09:28:55 Riemannian geometry Curvature Topology Isospectral Spectral theory Riemannian submersion Riemannian manifold Holonomy Differentiable manifold Geometry Differential geometry Mathematical analysis
49	Identities on Hyperbolic Manifolds Martin Bridgeman∗and Ser Peow Tan∗∗ Add to Reading List Source URL: arxiv.org Language: English - Date: 2013-09-16 20:21:18 Riemann surfaces Differential geometry Dynamical systems Geodesic Hyperbolic manifold Pair of pants Closed geodesic Surface Prime geodesic Geometry Hyperbolic geometry Geometric topology
50	ON THE TOPOLOGICAL INVARIANTS OF MULTIDIMENSIONAL MANIFOLDS Heinrich Tietze Add to Reading List Source URL: www.maths.ed.ac.uk Language: English - Date: 2011-11-04 01:19:35 Manifolds Differential geometry Topological manifold Orientability Closed manifold Space Differentiable manifold Haken manifold Topology Geometric topology Differential topology

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