GOLDEN- AND PRODUCT-SHAPED HYPERSURFACES IN REAL SPACE FORMS
2013 ◽
Vol 10
(04)
◽
pp. 1320006
◽
Keyword(s):
We define two classes of hypersurfaces in real space forms, golden- and product-shaped, respectively, by imposing the shape operator to be of golden or product type. We obtain the whole families of above hypersurfaces, based on the classification of isoparametric hypersurfaces, as follows: in the golden case all are hyperspheres, a hyperbolic space and a generalized Clifford torus, while for the product case we obtain the unit hypersphere, the hyperplane, a hypersphere and its associated Clifford torus, respectively, according to the type of the ambient space form namely parabolic, hyperbolic or elliptic, respectively.
2007 ◽
Vol 2
◽
pp. 343-348
2005 ◽
Vol 48
(2)
◽
pp. 337-364
◽
Keyword(s):
2014 ◽
Vol 91
(1)
◽
pp. 145-154
◽
Keyword(s):
2015 ◽
Vol 92
◽
pp. 167-180
◽
2014 ◽
Vol 90
(3)
◽
pp. 510-520
Keyword(s):