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picture1_Geometry Pdf 167385 | S0002 9904 1945 08483 3


picture2_Geometry Pdf 167385 | S0002 9904 1945 08483 3 picture3_Geometry Pdf 167385 | S0002 9904 1945 08483 3

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File: Geometry Pdf 167385 | S0002 9904 1945 08483 3
ON RIEMANNIAN MANIFOLDS OF FOUR DIMENSIONS1 SHIING-SHEN CHERN Introduction. It is well known that in three-dimensional elliptic or spherical geometry the so-called Clifford's parallelism or parataxy has many interesting ...

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

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...On riemannian manifolds of four dimensions shiing shen chern introduction it is well known that in three dimensional elliptic or spherical geometry the so called clifford s parallelism parataxy has many interesting properties a group theoretic reason for most important these fact universal covering proper orthogonal variables direct product groups two this last mentioned property no ana logue n other hand knowledge useful study orientable di mensions because their tangent spaces possess kind purpose note to give compact orient able manifold at each point which attached space necessitates more careful than hitherto given literature except far as writer aware paper by e ur main result consists formulas express topological invariants differentiable integrals over differ ential constructed from metric previously have linear combination euler poincare characteristic we consider an ori ented euclidean with coordinates xo xi x ea let be oriented unit hypersphere defined equation xl i concerne...
								

							

						
	
												
				
					
					
					
			
					
				
				
		
	

	
		





	

	
				

						

						
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										Category:  Uncategorized / Uncategorized 
										
Posted on: 25 Jan 2023 | 2 years ago
										
										
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																								s0002,
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																								08483,
											                                        
																				
Filetype: PDF
										
File size: 0.57 MB
										
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												Wan learn