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41	Lecture 17. Extrinsic curvature of submanifolds In this lecture we deﬁne the extrinsic curvature of submanifolds in Euclidean space. Add to Reading List Source URL: maths-people.anu.edu.au Language: English - Date: 2001-11-06 21:17:25 Differential topology Curvature Riemannian geometry Darboux frame Tangent space Second fundamental form Differentiable manifold Vector bundle Submanifold Geometry Differential geometry Topology
42	Houston Journal of Mathematics c 2010 University of Houston Volume 36, No. 1, 2010 INFINITESIMAL AFFINE GEOMETRY OF METRIC SPACES Add to Reading List Source URL: www.imar.ro Language: English - Date: 2010-01-07 09:05:34 Differential geometry Linear algebra Affine geometry Differential topology Lie groups Vector space Space Affine space Tangent space Mathematics Algebra Geometry
43	November 5, 2003 9:42 WSPC/148-RMP[removed]Reviews in Mathematical Physics Vol. 15, No[removed]–743 Add to Reading List Source URL: www.mertzlufft-paufler.de Language: English - Date: 2007-02-11 07:09:09 Differential topology Vector bundles Symplectic geometry Hamiltonian mechanics Fiber bundles Symplectic manifold Poisson bracket Tangent bundle Canonical coordinates Topology Theoretical physics Physics
44	Theory and Applications of Categories, Vol. 28, No. 28, 2013, pp. 981–[removed]FORMS AND EXTERIOR DIFFERENTIATION IN CARTESIAN DIFFERENTIAL CATEGORIES G.S.H. CRUTTWELL Abstract. Cartesian differential categories abstract Add to Reading List Source URL: www.emis.de Language: English - Date: 2013-10-09 16:44:00 Differential geometry Abstract algebra Linear algebra Differential calculus Generalizations of the derivative Differential form Differentiable manifold Vector space Tangent space Algebra Mathematics Mathematical analysis
45	[removed]Isolated singularities of holomorphic functions vector ﬁelds as holomorphic sections in the complex tangent bundle. A holomorphic one parameter group is a holomorphic map g : C×M → M with Add to Reading List Source URL: www.ams.org Language: English - Date: 2007-04-04 12:01:34 Singularity theory Holomorphic function Sheaf Unfolding Meromorphic functions Removable singularity Milnor number Mathematical analysis Mathematics Analytic functions
46	ENLARGEABILITY AND INDEX THEORY B. Hanke and T. Schick Abstract Let M be a closed enlargeable spin manifold. We show nontriviality of the universal index obstruction in the K-theory of the maximal C ∗ -algebra of the f Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:01 Algebraic topology Fiber bundles Differential topology Differential geometry Connection Vector bundle Connection form Holonomy Tangent space Topology Mathematical analysis Mathematics
47	Steiner bundles - tesi.dvi Add to Reading List Source URL: eprints.ucm.es Language: English - Date: 2014-02-06 05:13:15 Differential topology Vector bundles Fiber bundles Algebraic topology Characteristic classes Grassmannian Dottorato di ricerca Chern class Tangent bundle Topology Abstract algebra Geometry
48	1 Composite Retrieval of Diverse and Complementary Bundles Sihem Amer-Yahia, Francesco Bonchi, Carlos Castillo, Esteban Feuerstein, Isabel Mendez-Diaz, and Paula Zabala Add to Reading List Source URL: www.fundacionsadosky.org.ar Language: English - Date: 2014-09-16 10:36:00 Mathematics Fiber bundles Algebraic topology Homotopy theory Vector bundles Section Bundle Cluster analysis Tangent bundle Topology Abstract algebra Differential topology
49	Chapter 3 Tangent spaces, normals and extrema If S is a surface in 3-space, with a point a ∈ S where S looks smooth, i.e., without any fold or cusp or self-crossing, we can intuitively define the tangent plane to S at Add to Reading List Source URL: math.caltech.edu Language: English - Date: 2010-04-14 12:27:36 Differential geometry Vector calculus Differential topology Differential calculus Multivariable calculus Tangent space Normal Gradient Vector field Mathematical analysis Mathematics Calculus
50	Week 6 (due Feb[removed]Problem 6.8 in Morita. 2. Consider a unit sphere S 2 in R3 . The tangent bundle to R3 is trivial and one can define a connection on it by letting ∇ Add to Reading List Source URL: www.theory.caltech.edu Language: English - Date: 2009-02-12 15:45:18 Connection Differential topology Fiber bundles Vector bundles Connection form Curvature Tangent bundle Spherical coordinate system Frame bundle Topology Mathematical analysis Differential geometry