On the Best Pinching Constant of Conformal Metrics on $\mathbb {S}^{2}$ with One and Two Conical Singularities

2011 ◽  
Vol 23 (2) ◽  
pp. 855-877 ◽  
Author(s):  
Daniele Bartolucci
Keyword(s):  
Conformal Metrics ◽  
Conical Singularities

scholarly journals Drawing Cone Spherical Metrics via Strebel Differentials

2018 ◽  
Vol 2020 (11) ◽  
pp. 3341-3363 ◽  
Author(s):  
Jijian Song ◽  
Yiran Cheng ◽  
Bo Li ◽  
Bin Xu
Keyword(s):  
Constant Curvature ◽  
Riemann Surfaces ◽  
Conformal Metrics ◽  
Conical Singularities ◽  
Ribbon Graphs ◽  
New Class ◽  
Compact Riemann Surfaces

Abstract Cone spherical metrics are conformal metrics with constant curvature one and finitely many conical singularities on compact Riemann surfaces. By using Strebel differentials as a bridge, we construct a new class of cone spherical metrics on compact Riemann surfaces by drawing on the surfaces some class of connected metric ribbon graphs.

Supercritical Conformal Metrics on Surfaces with Conical Singularities

2011 ◽  
Vol 2011 (24) ◽  
pp. 5625-5643 ◽  
Author(s):  
Daniele Bartolucci ◽  
Francesca De Marchis ◽  
Andrea Malchiodi
Keyword(s):  
Conformal Metrics ◽  
Conical Singularities

Topological tools for the prescribed scalar curvature problem on S n

2014 ◽  
Vol 12 (12) ◽  
Author(s):  
Dina Abuzaid ◽  
Randa Ben Mahmoud ◽  
Hichem Chtioui ◽  
Afef Rigane
Keyword(s):  
Scalar Curvature ◽  
Conformal Metrics ◽  
Standard Sphere ◽  
Multiplicity Results ◽  
Existence And Multiplicity ◽  
Hopf Formula ◽  
Curvature Problem ◽  
Formula Type

AbstractIn this paper, we consider the problem of the existence of conformal metrics with prescribed scalar curvature on the standard sphere S n, n ≥ 3. We give new existence and multiplicity results based on a new Euler-Hopf formula type. Our argument also has the advantage of extending well known results due to Y. Li [16].

Motion of bodies in Schwarzschild spacetime with conical singularities

1989 ◽  
Vol 80 (2) ◽  
pp. 874-886
Author(s):  
D. V. Gal'tsov ◽  
�. Masar
Keyword(s):  
Schwarzschild Spacetime ◽  
Conical Singularities

scholarly journals Spherical Metrics with Conical Singularities on a 2-Sphere: Angle Constraints

2015 ◽  
Vol 2016 (16) ◽  
pp. 4937-4995 ◽  
Author(s):  
Gabriele Mondello ◽  
Dmitri Panov
Keyword(s):  
Conical Singularities
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