PARA-BLASCHKE ISOPARAMETRIC HYPERSURFACES IN A UNIT SPHERE Sn + 1(1)*
Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 579-597
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Let A = ρ2∑i,jAijθi ⊗ θj and B = ρ2∑i,jBij θi ⊗ θj be the Blaschke tensor and the Möbius second fundamental form of the immersion x. Let D = A + λB be the para-Blaschke tensor of x, where λ is a constant. If x: Mn ↦ Sn + 1(1) is an n-dimensional para-Blaschke isoparametric hypersurface in a unit sphere Sn + 1(1) and x has three distinct Blaschke eigenvalues one of which is simple or has three distinct Möbius principal curvatures one of which is simple, we obtain the full classification theorems of the hypersurface.
SHU, SHICHANG; SU, BIANPING. PARA-BLASCHKE ISOPARAMETRIC HYPERSURFACES IN A UNIT SPHERE Sn + 1(1)*. Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 579-597. doi: 10.1017/S001708951200016X
@article{10_1017_S001708951200016X,
author = {SHU, SHICHANG and SU, BIANPING},
title = {PARA-BLASCHKE {ISOPARAMETRIC} {HYPERSURFACES} {IN} {A} {UNIT} {SPHERE} {Sn} + 1(1)*},
journal = {Glasgow mathematical journal},
pages = {579--597},
year = {2012},
volume = {54},
number = {3},
doi = {10.1017/S001708951200016X},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708951200016X/}
}
TY - JOUR AU - SHU, SHICHANG AU - SU, BIANPING TI - PARA-BLASCHKE ISOPARAMETRIC HYPERSURFACES IN A UNIT SPHERE Sn + 1(1)* JO - Glasgow mathematical journal PY - 2012 SP - 579 EP - 597 VL - 54 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S001708951200016X/ DO - 10.1017/S001708951200016X ID - 10_1017_S001708951200016X ER -
%0 Journal Article %A SHU, SHICHANG %A SU, BIANPING %T PARA-BLASCHKE ISOPARAMETRIC HYPERSURFACES IN A UNIT SPHERE Sn + 1(1)* %J Glasgow mathematical journal %D 2012 %P 579-597 %V 54 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S001708951200016X/ %R 10.1017/S001708951200016X %F 10_1017_S001708951200016X
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