scholarly journals Boundary expansions of complete conformal metrics with negative Ricci curvatures

2021 ◽  
Vol 60 (4) ◽  
Author(s):  
Yue Wang
Keyword(s):  
Conformal Metrics

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].

Blowing up with infinite energy of conformal metrics on Sn

1999 ◽  
Vol 24 (5-6) ◽  
pp. 785-799 ◽  
Author(s):  
Chiun-Chuan Chen ◽  
Chiun-Chuan Chen ◽  
Chang-Shou Lin ◽  
Chang-Shou Lin
Keyword(s):  
Conformal Metrics ◽  
Blowing Up ◽  
Infinite Energy

scholarly journals On Conformal Metrics with Constant $Q$-Curvature

2019 ◽  
Vol 35 (2) ◽  
pp. 117-143 ◽  
Author(s):  
Andrea Malchiodi
Keyword(s):  
Conformal Metrics

scholarly journals A∞-weights and compactness of conformal metrics under Ln∕2 curvature bounds

2021 ◽  
Vol 14 (7) ◽  
pp. 2163-2205
Author(s):  
Clara L. Aldana ◽  
Gilles Carron ◽  
Samuel Tapie
Keyword(s):  
Conformal Metrics ◽  
Curvature Bounds

scholarly journals On the normal exponential map in singular conformal metrics

2015 ◽  
Vol 127 ◽  
pp. 35-44 ◽  
Author(s):  
Roberto Giambò ◽  
Fabio Giannoni ◽  
Paolo Piccione
Keyword(s):  
Exponential Map ◽  
Conformal Metrics

scholarly journals Compactness of conformal metrics with constant Q-curvature. I

2019 ◽  
Vol 345 ◽  
pp. 116-160 ◽  
Author(s):  
YanYan Li ◽  
Jingang Xiong
Keyword(s):  
Conformal Metrics

scholarly journals Scalar curvatures of conformal metrics on Sn

1995 ◽  
Vol 140 ◽  
pp. 151-166
Author(s):  
Shigeo Kawai
Keyword(s):  
Scalar Curvature ◽  
Unit Sphere ◽  
Gaussian Curvature ◽  
Smooth Function ◽  
Conformal Metrics ◽  
Conformal Metric ◽  
Canonical Metric ◽  
Dimensional Unit ◽  
Dimension 2

In this paper we consider the following problem: Given a smooth function K on the n-dimensional unit sphere Sn(n ≥ 3) with its canonical metric g0, is it possible to find a pointwise conformal metric which has K as its scalar curvature? This problem was presented by J. L. Kazdan and F. W. Warner. The associated problem for Gaussian curvature in dimension 2 had been presented by L. Nirenberg several years before.

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