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PureMathematics
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,2022,12(12),2163-2169
PublishedOnlineDecember2022inHans.http://www.hanspub.org/journal/pm
https://doi.org/10.12677/pm.2022.1212232
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RicciSolitonsonHypersurfacesofLorentz
Space
YangYang
∗
,ChaoYang
†
CollegeofMathematicsandStatistics,NorthwestNormalUniversity,LanzhouGansu
Received:Nov.25
th
,2022;accepted:Dec.21
st
,2022;published:Dec.30
th
,2022
Abstract
Inthispaper,westudyRiccisolitonsonhypersurfacesofLorentzspace
E
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+1
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n
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DOI:10.12677/pm.2022.1212232
§
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takingthepotentialvectorfieldasthetangentcomponentofthepositionvectorof
thehypersurfaces.Undertheassumptionthatthehypersurfaceshavediagonalizable
shapeoperators,weprovethatthehypersurfaceshaveatmosttwodistinctprincipal
curvatures.
Keywords
RicciSolitons,Hypersurfaces,LorentzSpace,ShapeOperator,PrincipalCurvatures
Copyright
c
2022byauthor(s)andHansPublishersInc.
This work is licensed undertheCreative Commons Attribution International License (CCBY 4.0).
http://creativecommons.org/licenses/by/4.0/
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DOI:10.12677/pm.2022.12122322166
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