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picture1_Geometry Pdf 167273 | Jl Revisit


picture2_Geometry Pdf 167273 | Jl Revisit picture3_Geometry Pdf 167273 | Jl Revisit

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File: Geometry Pdf 167273 | Jl Revisit
UNIQUENESS RESULTS ON A GEOMETRIC PDE IN RIEMANNIAN AND CR GEOMETRY REVISITED XIAODONG WANG Abstract. We revisit some uniqueness results for a geometric nonlinear PDE related to the scalar curvature ...

icon picture PDF Filetype PDF | Posted on 25 Jan 2023 | 2 years ago

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...Uniqueness results on a geometric pde in riemannian and cr geometry revisited xiaodong wang abstract we revisit some for nonlinear related to the scalar curvature case give new proof of result assuming only positive lower bound ricci apply same principle reconstruct jerison lee identity more general setting as consequence prove stronger also discuss open problems further study introduction let n g be manifold ge u another metric confor mal where is smooth function curvatures are by following equation e gu ru s gc sphere with standard conformal has constant i c di eomorphisms rise natural family solutions above ut x cosht sinht t it remarkable theorem that these all there now several proofs this analytically stereographic projection equivalent v rn whose were classied gidas ni nirenberg using moving plane method geometrically follows from obata suppose closed einstein then must unless isometric up scaling corresponds sinhtx obatas short elegant based formula d traceless tensor respectiv...
								

							

						
	
												
				
					
					
					
			
					
				
				
		
	

	
		





	

	
				

						

						
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Posted on: 25 Jan 2023 | 2 years ago
										
										
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Filetype: PDF
										
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