Timeline for Isometries between two convex bodies [closed]
Current License: CC BY-SA 4.0
7 events
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Jan 24, 2020 at 15:41 | history | closed |
Ben McKay user44191 Luc Guyot Max Horn David Handelman |
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Jan 24, 2020 at 11:53 | comment | added | Gerald Edgar | Even without $n+1$ linearly independent points, there exists an isometry such that its restriction is $f$; but in that case it is not unique. | |
Jan 24, 2020 at 10:08 | history | edited | asv | CC BY-SA 4.0 |
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Jan 24, 2020 at 9:35 | review | Close votes | |||
Jan 24, 2020 at 15:41 | |||||
Jan 24, 2020 at 8:12 | comment | added | asv | @LevSoukhanov: Thanks, you are right. This is a final answer in fact. | |
Jan 24, 2020 at 8:03 | comment | added | Lev Soukhanov | convexity is not needed: non-empty interior is enough, moreover, having $n+1$ linearly independent points is enough. distances to these points determine the point in a space uniquely, so knowing images of these points you determine the images of every point of space. | |
Jan 24, 2020 at 7:41 | history | asked | asv | CC BY-SA 4.0 |