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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2013, Volume 9, Number 3, Pages 360–378 (Mi jmag569)  
This article is cited in 4 scientific papers (total in 4 papers)

Real Hypersurfaces in Complex Two-Plane Grassmannians with Generalized Tanaka–Webster Invariant Shape Operator

I. Jeong, E. Pak, Y. J. Suh

Department of Mathematics, Kyungpook National University, Taegu, Korea
Full-text PDF (223 kB) Citations (4)
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Abstract: In this paper, we introduce a new notion of the generalized Tanaka–Webster invariant for a hypersurface $M$ in $G_2(\mathbb{C}^{m+2})$, and give a non-existence theorem for Hopf hypersurfaces in $G_2(\mathbb{C}^{m+2})$ with generalized Tanaka–Webster invariant shape operator.
Key words and phrases: real hypersurfaces, complex two-plane Grassmannians, Hopf hypersurface, generalized Tanaka–Webster connection, Reeb parallel shape operator, $\mathfrak{D}^\perp$-parallel shape operator, Lie invariant shape operator.
Received: 19.11.2011
Revised: 15.03.2012
Bibliographic databases:
Document Type: Article
MSC: Primary 53C40; Secondary 53C15
Language: English
Citation: I. Jeong, E. Pak, Y. J. Suh, “Real Hypersurfaces in Complex Two-Plane Grassmannians with Generalized Tanaka–Webster Invariant Shape Operator”, Zh. Mat. Fiz. Anal. Geom., 9:3 (2013), 360–378
Citation in format AMSBIB
\Bibitem{JeoPakSuh13}
\by I.~Jeong, E.~Pak, Y.~J.~Suh
\paper Real Hypersurfaces in Complex Two-Plane Grassmannians with Generalized Tanaka--Webster Invariant Shape Operator
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2013
\vol 9
\issue 3
\pages 360--378
\mathnet{http://mi.mathnet.ru/jmag569}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3155145}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000322697400005}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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