SYMPLECTIC GEOGRAPHY PROBLEM IN DIMENSION SIX

Date

2012-10-01

Author

Beyaz, Ahmet

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

202
views

0
downloads

In this note, the geography problem in dimension four is reviewed and then its extension to dimension six for the symplectic case is explained. Finally some examples in dimension six are provided.

Subject Keywords

Symplectic, 6-manifold, 4-manifold, Geography

URI

https://hdl.handle.net/11511/53611

Journal

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Distance-based discretization of parametric signal manifolds Vural, Elif (2010-06-28) The characterization of signals and images in manifolds often lead to efficient dimensionality reduction algorithms based on manifold distance computation for analysis or classification tasks. We propose in this paper a method for the discretization of signal manifolds given in a parametric form. We present an iterative algorithm for the selection of samples on the manifold that permits to minimize the average error in the manifold distance computation. Experimental results with image appearance manifolds d...
Complex and symplectic structures on panelled web 4-manifolds Kalafat, Mustafa; Arguez, Huelya (2012-05-15) We analyze the symplectic and complex structures on the panelled web 4-manifolds of S. Akbulut and M. Kalafat [1]. In particular, we give infinite families of examples of almost complex but not symplectic and not complex 4-manifolds in the non-simply connected case.
AN UPPER BOUND FOR THE LARGEST EIGENVALUE OF A GRAPH - EFFECT OF TYPES OF VERTICES Türker, Burhan Lemi (Springer Science and Business Media LLC, 1992-01-01) A novel method, based on the topology of the cardinal vertex, is described to find an upper bound for the largest eigenvalue of a graph.
A Numerical Investigationof VMS-POD Model for Darcy-Brinkman Equations Güler Eroğlu, Fatma; Kaya Merdan, Songül; Rebholz, Leo (2018-07-06) We extend the variational multiscale proper orthogonal decomposition reduced order modeling (VMSPOD) to flows governed by double diffusive convection. We present stability and convergence analyses for it, and give results for numerical tests on a benchmark problem which show it is an effective approach.
A local discontinuous Galerkin method for Dirichlet boundary control problems Yücel, Hamdullah (null; 2018-10-20) In this paper, we consider Dirichlet boundary control of a convection-diffusion equation with L 2 4 – 5 boundary controls subject to pointwise bounds on the control posed on a two dimensional convex polygonal domain. 6 We use the local discontinuous Galerkin method as a discretization method. We derive a priori error estimates for 7 the approximation of the Dirichlet boundary control problem on a polygonal domain. Several numerical results are 8 provided to illustrate the theoretical results.

Citation Formats

A. Beyaz, “SYMPLECTIC GEOGRAPHY PROBLEM IN DIMENSION SIX,” HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, pp. 709–713, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/53611.