scholarly journals Probabilistic Permutation Synchronization Using the Riemannian Structure of the Birkhoff Polytope

2019 ◽  
Author(s):  
Tolga Birdal ◽  
Umut Simsekli
Keyword(s):  
Riemannian Structure ◽  
Birkhoff Polytope

scholarly journals A generating function for all semi-magic squares and the volume of the Birkhoff polytope

2008 ◽  
Vol 30 (1) ◽  
pp. 113-139 ◽  
Author(s):  
J. A. De Loera ◽  
F. Liu ◽  
R. Yoshida
Keyword(s):  
Generating Function ◽  
Magic Squares ◽  
Birkhoff Polytope

scholarly journals The Riemannian structure of Alexandrov spaces

1994 ◽  
Vol 39 (3) ◽  
pp. 629-658 ◽  
Author(s):  
Yukio Otsu ◽  
Takashi Shioya
Keyword(s):  
Riemannian Structure ◽  
Alexandrov Spaces

scholarly journals On the efficient computation of a generalized Jacobian of the projector over the Birkhoff polytope

2018 ◽  
Vol 179 (1-2) ◽  
pp. 419-446 ◽  
Author(s):  
Xudong Li ◽  
Defeng Sun ◽  
Kim-Chuan Toh
Keyword(s):  
Efficient Computation ◽  
Generalized Jacobian ◽  
Birkhoff Polytope

A Flat Nonmetrizable Connexion

1972 ◽  
Vol 15 (2) ◽  
pp. 205-206
Author(s):  
H. G. Helfenstein
Keyword(s):  
Smooth Manifold ◽  
Polar Coordinates ◽  
Riemannian Structure

A linear connexion ∇ on a smooth manifold M with vanishing torsion and curvature is called flat. It is well known that such a connexion need not be the Levi-Civita connexion of a Riemannian (nor pseudo-Riemannian) structure (cf. [1]).The following example with M homeomorphic to a cylinder is particularly simple. Using polar coordinates the punctured plane M=R2\{0} is covered by a smooth atlas with two charts

The Riemannian Structure of Space‐Time as a Consequence of a Measurement Method

1971 ◽  
Vol 12 (10) ◽  
pp. 2203-2211 ◽  
Author(s):  
Mario A. Castagnino
Keyword(s):  
Measurement Method ◽  
Space Time ◽  
Riemannian Structure

The number of faces of the tridiagonal Birkhoff polytope

2009 ◽  
Vol 161 (6) ◽  
pp. 867-877 ◽  
Author(s):  
L. Costa ◽  
C. M. da Fonseca ◽  
E. A. Martins
Keyword(s):  
Birkhoff Polytope ◽  
Number Of Faces

scholarly journals The super-Sasaki metric on the antitangent bundle

2020 ◽  
Vol 17 (08) ◽  
pp. 2050122
Author(s):  
Andrew James Bruce
Keyword(s):  
Riemannian Manifold ◽  
Tangent Bundle ◽  
Symplectic Form ◽  
Riemannian Metric ◽  
Riemannian Structure ◽  
Sasaki Metric

We show how to lift a Riemannian metric and almost symplectic form on a manifold to a Riemannian structure on a canonically associated supermanifold known as the antitangent or shifted tangent bundle. We view this construction as a generalization of Sasaki’s construction of a Riemannian metric on the tangent bundle of a Riemannian manifold.

A New Riemannian Structure in SPD(n)

2019 ◽  
Author(s):  
Shiqiang Zhang ◽  
Yueqi Cao ◽  
Wenyu Li ◽  
Fangjia Yan ◽  
Yihao Luo ◽  
...  
Keyword(s):  
Riemannian Structure
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