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Manifold decomposition
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1	2. PROBLEM SET FOR “DIFFERENTIAL GEOMETRY II” AKA “ANALYSIS AND GEOMETRY ON MANIFOLDS” WINTER TERMProblem 4. Prove the following theorem from class, which defines the product of smooth manifolds. Add to Reading List Source URL: carsten.codimi.de Language: English - Date: 2013-09-23 06:50:59 Topology Mathematics Mathematical analysis Geometric topology Differentiable manifold Smooth structure Manifolds Handle decomposition Complex manifold
2	Volume xx (200y), Number z, pp. 1–10 Analysis and Visualization of Maps Between Shapes Maks Ovsjanikov1 1 LIX, Add to Reading List Source URL: www.cs.technion.ac.il Language: English - Date: 2013-05-08 01:03:07 Algebra Mathematics Mathematical analysis Linear algebra Matrix theory Functional analysis Abstract algebra Smooth functions Singular value decomposition Manifold Distortion Vector space
3	Compressed Manifold Modes: Fast Calculation and Natural Ordering Kevin Houston School of Mathematics University of Leeds Leeds, LS2 9JT, U.K. Add to Reading List Source URL: www.kevinhouston.net Language: English - Date: 2015-07-14 05:07:43 Linear algebra Matrix theory Differential operators Multivariable calculus Eigenvalues and eigenvectors Singular value decomposition Eigenfunction Matrix LaplaceBeltrami operator Partial differential equation
4	Tangent Estimation from Point Samples∗ Siu-Wing Cheng† Man-Kwun Chiu‡§ Abstract Let M be an m-dimensional smooth compact manifold embedded in Rd , where m is a constant known to us. Suppose that a dense set of poi Add to Reading List Source URL: www.cse.ust.hk Language: English - Date: 2016-07-04 16:15:07 Linear algebra Matrix theory Differential geometry Abstract algebra Vectors Eigenvalues and eigenvectors Vector space Orthogonal matrix Tangent space Normal Singular value decomposition Euclidean vector
5	401 Documenta Math. Tight Embeddings of Simply Connected 4-Manifolds ¨hnel Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2004-11-26 16:04:26 Geometric topology 4-manifold Differentiable manifold Triangulation Topological manifold Manifold Handle decomposition Immersion 3-manifold Submanifold Connected sum Intersection form
6	GROUPS OF HOMOTOPY SPHERES GRADUATE STUDENT SEMINAR WINTER TERM 2013 DOMINIK OSTERMAYR This semester we want to study groups of homotopy spheres. Let θn be the group of Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2013-09-30 08:35:02 Surgery theory Differential topology Geometric topology Cobordism Kervaire invariant H-cobordism Surgery exact sequence Handle decomposition Homotopy groups of spheres Signature Handlebody 3-manifold
7	c 2010 Society for Industrial and Applied Mathematics SIAM J. APPLIED DYNAMICAL SYSTEMS Vol. 9, No. 2, pp. 611–633 Add to Reading List Source URL: georgehaller.com Language: English - Date: 2015-06-08 09:48:04 Dynamical systems Normally hyperbolic invariant manifold Slow manifold Invariant manifold Lyapunov exponent Manifold Decomposition of spectrum
8	1 The decomposition of the space of “curvature operators”. Let M be an n-dimensional Riemannian manifold with metric tensor h:::; :::i Add to Reading List Source URL: www.math.ucsd.edu Language: English - Date: 2007-07-25 19:44:10
9	Volume xx (200y), Number z, pp. 1–10 Analysis and Visualization of Maps Between Shapes Maks Ovsjanikov1 1 LIX, Add to Reading List Source URL: geometry.stanford.edu Language: English - Date: 2014-08-22 23:20:20 Algebra Mathematics Mathematical analysis Linear algebra Matrix theory Functional analysis Abstract algebra Smooth functions Singular value decomposition Manifold Distortion Vector space
10	Large-Scale Manifold Learning Ameet Talwalkar Courant Institute New York, NY Sanjiv Kumar Add to Reading List Source URL: www.sanjivk.com Language: English - Date: 2010-06-01 18:50:24 Multivariate statistics Matrix theory Singular value decomposition Dimension reduction Nonlinear dimensionality reduction Isomap Semidefinite embedding Eigenvalues and eigenvectors Principal component analysis Algebra Mathematics Linear algebra