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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2013, Volume 9, Number 4, Pages 455–475
(Mi jmag576)
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This article is cited in 1 scientific paper (total in 1 paper)
Lie Invariant Shape Operator for Real Hypersurfaces in Complex Two-Plane Grassmannians II
I. Jeong, E. Pak, Y. J. Suh
Department of Mathematics, Kyungpook National University,
Taegu 702-701, Korea
Abstract:
A new notion of the generalized Tanaka–Webster $\mathfrak D^{\bot}$-invariant for a hypersurface $M$ in $G_2({\mathbb C}^{m+2})$ is introduced, and a classification of Hopf hypersurfaces in $G_2({\mathbb C}^{m+2})$ with generalized Tanaka–Webster $\mathfrak D^{\bot}$-invariant shape operator is given.
Key words and phrases:
real hypersurfaces, complex two-plane Grassmannians, Hopf hypersurface, generalized Tanaka–Webster connection, Reeb parallel shape operator, $\mathfrak D^{\bot}$-parallel shape operator, invariant shape operator, $g$-Tanaka–Webster invariant shape operator, $g$-Tanaka–Webster $\mathfrak D^{\bot}$-invariant shape operator.
Received: 17.01.2012
Revised: 11.10.2012
Citation:
I. Jeong, E. Pak, Y. J. Suh, “Lie Invariant Shape Operator for Real Hypersurfaces in Complex Two-Plane Grassmannians II”, Zh. Mat. Fiz. Anal. Geom., 9:4 (2013), 455–475
Linking options:
https://www.mathnet.ru/eng/jmag576 https://www.mathnet.ru/eng/jmag/v9/i4/p455
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