Real hypersurfaces in the complex quadric with parallel Ricci tensor
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In this article, the authors introduced the notion of parallel Ricci tensor for real hypersurfaces in the complex quadric Qm=SOm+2/SOmSO2.About:
This article is published in Advances in Mathematics.The article was published on 2015-08-20 and is currently open access. It has received 64 citations till now. The article focuses on the topics: Ricci flow & Ricci decomposition.read more
Citations
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Real hypersurfaces in the complex quadric with harmonic curvature
TL;DR: In this article, the authors introduced the notion of harmonic curvature for real hypersurfaces in the complex quadric Q m = S O m + 2 /S O m S O 2.
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Real hypersurfaces in the complex hyperbolic quadrics with isometric Reeb flow
TL;DR: In this paper, the existence of real hypersurfaces with isometric Reeb flow in complex hyperbolic quadrics was shown to be non-trivial, i.e., there is no such hypersurface with Reeb Flow in odd-dimensional complex quadrics Q∗2k+1, k ≥ 1.
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Real hypersurfaces in the complex quadric with commuting Ricci tensor
Young Jin Suh,Doo Hyun Hwang +1 more
TL;DR: In this article, the authors introduced the notion of commuting Ricci tensor for real hypersurfaces in the complex quadric, and showed that the commuting tensor gives that the unit normal vector field becomes the principal or isotropic.
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Pseudo-Einstein real hypersurfaces in the complex quadric
TL;DR: In this article, the notion of pseudo-Einstein real hypersurfaces in the complex quadric Qm = SOm+2/SO2SOm was introduced and a complete classification of such hypersurface surfaces was given.
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Contact real hypersurfaces in the complex hyperbolic quadric
Sebastian Klein,Young Jin Suh +1 more
TL;DR: In this article, a new proof of the classification of contact real hypersurfaces with constant mean curvature in the complex hyperbolic quadric (Q^m}^* = SO{m,2}^o/SO_mSO_2, where $m\geq 3$ is given.
References
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Real Hypersurfaces in Complex Two-Plane Grassmannians
Jurgen Berndt,Young Jin Suh +1 more
TL;DR: In this paper, the complex two-plane Grassmannian with both a Kahler and a quaternionic Kahler structure was applied to the normal bundle of a real hypersurface M in G
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Real hypersurfaces with isometric Reeb flow in complex two-plane Grassmannians
Jurgen Berndt,Young Jin Suh +1 more
TL;DR: In this article, the authors classify real hypersurfaces with isometric Reeb flow in the complex Grassmann manifold G 2 (ℂ istg m+2 petertodd ) of all 2-dimensional linear subspaces in ℂm+2
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Totally geodesic submanifolds of the complex quadric
TL;DR: In this paper, the root space decomposition of a Riemannian symmetric space of compact type and its totally geodesic submanifolds (symmetric subspaces) are described.