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Horizontal Newton operators and high-order Minkowski formula.
- Source :
-
Communications in Contemporary Mathematics . Mar2021, Vol. 23 Issue 2, pN.PAG-N.PAG. 19p. - Publication Year :
- 2021
-
Abstract
- In this paper, we study the horizontal Newton transformations, which are nonlinear operators related to the natural splitting of the second fundamental form for hypersurfaces in a complex space form. These operators allow to prove the classical Minkowski formulas in the case of real space forms: unlike the real case, the horizontal ones are not divergence-free. Here, we consider the highest order of nonlinearity and we will show how a Minkowski-type formula can be obtained in this case. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NONLINEAR operators
Subjects
Details
- Language :
- English
- ISSN :
- 02191997
- Volume :
- 23
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Communications in Contemporary Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 148111088
- Full Text :
- https://doi.org/10.1142/S0219199720500042