On normal solvability of the operator of exterior derivation on a surface of revolution

1997 ◽  
Vol 38 (6) ◽  
pp. 1130-1136
Author(s):  
Y. A. Kopylov
Keyword(s):  
Normal Solvability ◽  
Surface Of Revolution ◽  
Exterior Derivation

Real-time CAD-level surface of revolution reconstruction on visual slam

2020 ◽  
Author(s):  
Feng Li ◽  
Bin He ◽  
Gang Li ◽  
Ming Ma ◽  
Jian Li ◽  
...  
Keyword(s):  
Real Time ◽  
Level Surface ◽  
Visual Slam ◽  
Surface Of Revolution

scholarly journals Darboux Transforms of a Harmonic Inverse Mean Curvature Surface

Geometry ◽  
2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Katsuhiro Moriya
Keyword(s):  
Mean Curvature ◽  
Curvature Surface ◽  
Surface Of Revolution ◽  
Darboux Transforms

The notion of a generalized harmonic inverse mean curvature surface in the Euclidean four-space is introduced. A backward Bäcklund transform of a generalized harmonic inverse mean curvature surface is defined. A Darboux transform of a generalized harmonic inverse mean curvature surface is constructed by a backward Bäcklund transform. For a given isothermic harmonic inverse mean curvature surface, its classical Darboux transform is a harmonic inverse mean curvature surface. Then a transform of a solution to the Painlevé III equation in trigonometric form is defined by a classical Darboux transform of a harmonic inverse mean curvature surface of revolution.

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