The Cut Locus and Conjugate Locus of a Riemannian Manifold

1968 ◽  
Vol 87 (1) ◽  
pp. 29 ◽  
Author(s):  
Alan D. Weinstein
Keyword(s):  
Riemannian Manifold ◽  
Cut Locus ◽  
Conjugate Locus

scholarly journals Cut locus of a separating fractal set in a Riemannian manifold

1998 ◽  
Vol 50 (4) ◽  
pp. 455-467
Author(s):  
Hyeong In Choi ◽  
Doo Seok Lee ◽  
Joung-Hahn Yoon
Keyword(s):  
Riemannian Manifold ◽  
Cut Locus ◽  
Fractal Set

scholarly journals The dimension of a cut locus on a smooth Riemannian manifold

1998 ◽  
Vol 50 (4) ◽  
pp. 571-575 ◽  
Author(s):  
Jin-ichi Itoh ◽  
Minoru Tanaka
Keyword(s):  
Riemannian Manifold ◽  
Cut Locus

Golden Riemannian structures on the tangent bundle with g-natural metrics

Filomat ◽  
2019 ◽  
Vol 33 (8) ◽  
pp. 2543-2554
Author(s):  
E. Peyghan ◽  
F. Firuzi ◽  
U.C. De
Keyword(s):  
Riemannian Manifold ◽  
Tangent Bundle ◽  
Riemannian Metric

Starting from the g-natural Riemannian metric G on the tangent bundle TM of a Riemannian manifold (M,g), we construct a family of the Golden Riemannian structures ? on the tangent bundle (TM,G). Then we investigate the integrability of such Golden Riemannian structures on the tangent bundle TM and show that there is a direct correlation between the locally decomposable property of (TM,?,G) and the locally flatness of manifold (M,g).

Sign in / Sign up

Export Citation Format

Share Document