| Title:
|
Newton transformations on null hypersurfaces (English) |
| Author:
|
Fotsing, Cyriaque Atindogbé and Hans Tetsing |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 |
| Volume:
|
23 |
| Issue:
|
1 |
| Year:
|
2015 |
| Pages:
|
57-83 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Any rigged null hypersurface is provided with two shape operators: with respect to the rigging and the rigged vector fields respectively. The present paper deals with the Newton transformations built on both of them and establishes related curvature properties. The laters are used to derive necessary and sufficient conditions for higher-order umbilicity and maximality we introduced in passing, and develop general Minkowski-type formulas for the null hypersurface, supported by some physical models in perfect-fluid space-times. (English) |
| Keyword:
|
Null hypersurfaces |
| Keyword:
|
null rigging |
| Keyword:
|
Newton transformations |
| Keyword:
|
Minkowski integral formulas. |
| MSC:
|
53B30 |
| MSC:
|
53C42 |
| MSC:
|
53Z05 |
| idZBL:
|
Zbl 1342.53028 |
| idMR:
|
MR3394078 |
| . |
| Date available:
|
2015-08-25T14:00:12Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144359 |
| . |
| Reference:
|
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| . |
