Tag: riemannian-geometry

213 John Nash's Mathematical Legacy 2015-05-24T15:58:37.680

83 When can a Connection Induce a Riemannian Metric for which it is the Levi-Civita Connection? 2011-02-05T18:38:34.423

53 Riemannian surfaces with an explicit distance function? 2010-09-03T19:06:37.310

50 Converse to Euclid's fifth postulate 2017-10-14T15:04:25.510

48 "Gross-Zagier" formulae outside of number theory 2014-03-02T04:33:57.763

38 What are "good" examples of spin manifolds? 2011-11-04T19:15:16.857

37 Minimal volume of 4-manifolds 2010-03-31T16:47:24.083

35 Does the curvature determine the metric? 2012-06-21T20:08:48.773

35 Advanced Differential Geometry Textbook 2015-08-29T19:43:08.517

34 Finding a 1-form adapted to a smooth flow 2017-07-04T10:16:05.363

33 Many flat totally geodesic surfaces ⇒ flat? 2011-01-01T23:57:57.247

33 Is the Laplacian on a manifold the limit of graph Laplacians? 2011-06-04T13:35:55.673

32 Intuition behind moduli space of curves 2009-12-04T17:07:32.600

32 $G_2$ and Geometry 2010-12-14T05:48:03.837

31 A geometric interpretation of the Levi-Civita connection? 2010-08-01T07:20:57.543

29 Introductory text on Riemannian geometry 2010-03-27T13:05:07.630

28 Determining a surface in $\mathbb{R}^3$ by its Gaussian curvature 2011-10-02T00:37:54.803

28 Metrics on the 3-sphere with knotted geodesics 2015-07-24T22:40:26.647

27 Open Questions in Riemannian Geometry 2011-01-03T22:04:54.513

26 Some questions about scalar curvature 2010-06-30T11:38:22.507

25 Ricci flat metric on $n$-sphere? 2011-06-17T20:29:46.287

24 Do free higher homotopy classes of compact Riemannian manifolds have preferred representatives? 2010-08-11T17:32:23.547

24 Is there a Chern-Gauss-Bonnet theorem for orbifolds? 2011-01-26T00:39:08.087

24 The Origin of the Musical Isomorphisms 2011-06-29T00:35:13.847

24 Does isometric immersion map boundary to boundary? 2016-11-04T14:54:06.183

23 Complex manifolds in which the exponential map is holomorphic 2011-06-16T00:53:11.733

23 Ellipses on spheres (and other surfaces) 2014-07-10T01:41:12.657

22 Algebraic (semi-) Riemannian geometry ? 2010-03-25T18:07:26.910

22 When is a closed differential form harmonic relative to some metric? 2011-09-09T21:34:09.120

22 Isometric embedding of SO(3) into an euclidean space 2014-03-24T21:10:57.647

22 Finding the closest matrix to $\text{SO}_n$ with a given determinant 2017-08-11T16:10:18.360

21 Largest hyperbolic disk embeddable in Euclidean 3-space? 2009-10-15T00:23:48.463

21 Is there a smooth manifold which admits only rigid metrics? 2016-04-18T17:23:19.103

21 Questions on J. F. Nash's answer about his errors in the proof of embedding theorem 2016-06-13T13:06:03.010

21 Eigenvalues of Laplace operator 2017-12-10T00:24:40.083

20 Curves of constant curvature on S^2 2010-07-14T23:06:10.800

20 Nonnegative to Positive Curvature. 2010-12-01T20:30:09.950

20 Riemann's formula for the metric in a normal neighborhood 2014-10-27T19:20:11.860

19 When is the time evolution of a Hamiltonian system described by the geodesic flow on a Riemannian manifold? 2010-10-01T22:07:13.603

19 Is the following a sufficient condition for asphericity? 2011-10-04T20:33:41.080

19 Area of distance sphere in manifold with Ricci $\ge 0$. 2011-10-08T21:23:26.757

19 Intuition for mean curvature 2012-12-28T23:45:15.003

19 Is every topological (resp. Lie-) group the isometrygroup of a metric space (resp. Riemannian manifold)? 2013-03-07T17:31:23.753

19 geometric interpretation of Lie bracket 2013-04-17T05:26:10.503

19 Avoiding integers in the spectrum of the Laplacian of a Riemann surface 2013-10-31T19:49:01.930

19 Homeomorphisms of the sphere mapping a geodesic triangulation to another one 2017-02-12T19:27:31.213

19 A differentiable isometry is smooth? 2017-02-12T22:14:27.953

19 Why doesn't this construction of the tangent space work for non-Riemannian metric manifolds? 2017-08-05T02:08:00.033

18 Curvature and Parallel Transport 2010-03-02T11:59:08.313

18 Are the eigenvalues of the Laplacian of a generic Kähler metric simple? 2010-07-21T15:52:36.247

18 Tensor contraction and Covariant Derivative 2013-01-26T15:00:38.273

18 Why is it important that partial derivatives commute? 2013-02-23T15:16:03.957

18 Why is there no symplectic version of spectral geometry? 2017-10-19T14:58:09.550

17 Point singularity of a Riemannian manifold with bounded curvature 2009-10-21T02:41:41.083

17 Conjugate points in Lie groups with left-invariant metrics 2011-06-04T23:44:32.540

17 Manifold with all geodesics of Morse index zero but no negatively curved metric? 2011-07-18T15:50:44.397

17 Theorem of Bryant in higher dimensions 2011-11-20T17:48:19.700

17 Negative Einstein manifolds 2012-08-13T16:12:31.940

17 If there is a dense geodesic, are almost all geodesics equidistributed? Dense? 2014-07-20T19:38:55.670

17 Equations satisfied by the Riemann curvature tensor 2015-04-07T06:10:18.067

17 Gromov-Hausdorff limits of 2-dimensional Riemannian surfaces 2016-04-12T13:03:05.580

17 Does a Kähler manifold always admit a complete Kähler metric? 2016-05-24T21:48:17.377

16 A question about the proof of Mostow rigidity 2010-04-20T16:40:01.360

16 Why are they called isothermal coordinates? 2010-07-16T13:44:15.580

16 The geometry of Nadirashvili's complete, bounded, negative curvature surface 2011-01-22T18:20:14.597

16 Does a Riemannian manifold with bounded geometry admit an isometric proper embedding into Euclidean space with uniformly thick tubular neighborhood 2013-03-18T06:52:44.670

16 Simple, closed geodesics in $\mathbb{S}^3$ manifold 2014-09-09T23:54:56.590

16 Manifolds admitting flat connections 2014-10-11T13:23:43.657

16 Exact Definition of Dirac Operator 2015-01-09T17:01:20.213

16 Canonical Immersion of the Double Torus 2015-01-21T11:36:11.120

16 Vector field built from connection and metric 2015-05-21T16:43:48.037

16 Just how close can two manifolds be in the Gromov-Hausdorff distance? 2016-03-28T20:30:00.047

16 Is the Gromov conjecture still open? 2016-10-12T20:08:49.947

16 Why does the proof of Myers and Steenrod fail in the Lorentzian case? 2016-10-22T13:48:15.880

16 Why do people study curve shortening flows? 2017-04-03T20:42:42.567

15 Curvature of a Lie group 2010-07-09T14:56:20.170

15 Is there a coordinate-free proof of the hamiltonian character of the geodesic flow? 2012-02-16T13:03:47.960

15 If all balls around two points are isometric... -- manifold version 2014-10-06T22:38:07.137

15 Is the heat kernel more spread out with a smaller metric? 2014-11-07T00:09:55.777

15 Are there some intrinsic invariants of surfaces other than Gaussian curvature? 2016-06-03T11:35:29.890

15 Smoothness of the closest point on a submanifold 2016-06-12T15:20:52.223

15 SO(3) action on (simply connected) 6 manifold with discrete fixed point 2017-04-14T14:02:22.690

15 Characterization of a sphere: every "sub-sphere" has two centers 2017-12-29T14:18:38.603

14 When is a Riemannian manifold an open subset of a complete one? 2009-12-11T23:06:32.557

14 Roadmap to learning about Ricci Flow? 2010-09-03T10:09:00.987

14 Is there a unified reason that there are an infinite number of geodesics between nonconjugate points on a compact manifold? 2011-03-02T07:20:08.693

14 Applications of Berger's Curvature Estimate 2011-08-09T03:23:15.307

14 Possible isometries of a positively curved $S^2\times S^2$ 2012-03-11T21:04:38.957

14 Are isospectral manifolds necessarily homeomorphic? 2012-05-16T03:58:05.660

14 Algebraic characterization of the curvature operator of symmetric spaces 2013-01-25T11:40:03.473

14 Characterizing Hessians among symmetric bilinear tensors 2013-03-05T16:44:27.583

14 Obtain Lorentzian manifolds from Riemannian ones by Wick rotation 2014-05-06T11:02:43.593

14 Is there any progress on Problem 12 (from Schoen and Yau)? 2014-07-20T22:45:52.283

14 Green's operator of elliptic differential operator 2014-12-04T03:41:20.877

14 Closed geodesics avoiding points in hyperbolic surfaces 2015-01-28T15:12:06.137

14 *The* open problem in General Relativity? 2015-04-03T23:45:45.497

14 Can the Laplace operator on $n-$ manifolds be represented as a sum of $n$ second order derivational operators 2015-08-05T03:56:23.283

14 Can a Riemannian metric be analytic in non-analytically different coordinates? 2016-07-03T22:07:34.050

14 Darboux-like theorems 2016-11-15T06:07:07.267