GEOIDS AS TWO DIMENSIONAL HYPERSURFACES
DOI:
https://doi.org/10.7251/STP2215320MAbstract
We propose a research of geoids as real hypersufaces. Moreover, we give adjustment of some classical results on hyperusrfaces to CR submanifolds. Our main focus is to study the properties of second fundamental form which give us information on the shape of a hypersurface.
Keywords: geoids, hypersurfaces, shape operator, CR submanifolds.
References
M. Djorić and M. Okumura, CR submanifolds of complex projective space. Berlin: Springer, 2009.
M. Hotine, Mathematical Geodesy. U.S.: U.S. Government Printing Office, 1969.
S. Kopeikin, E. Mazurova, and A. Karpik, “Towards an exact relativistic theory of Earth’s geoid undulation”, Phys.Lett., vol. A379, pp. 1555-1562, 2015.
R. Niebergall and P.J. Ryan, “Real hypersurfaces in complex space forms”, Tight and Taut Submanifolds, vol. 32, pp. 233-305, 1997.
Marius Oltean et al, “Geoids in general relativity: geoid quasilocal frames”, Class. Quantum Grav., vol. 33, 2016.
E. Sinem Ince et al, “ICGEM - 15 years of successful collection and distribution of global gravitational models, associated services, and future plans”, Earth Syst. Sci. Data, vol. 11, pp. 647-674, 2019.
R. Takagi, “Real hypersurf aces in a complex projective space with constant principal curvatures”, J. Math. Soc. Japan, vol. 27, 1975.
