Maximally-warped metrics with harmonic curvature

AbstractWe study real hypersurfaces of a complex projection space and show that there are no such hypersurfaces with harmonic curvature on which the structure vector is principal.

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Rigidity of complete noncompact Riemannian manifolds with harmonic curvature

Journal of Geometry and Physics ◽

10.1016/j.geomphys.2017.11.004 ◽

2018 ◽

Vol 124 ◽

pp. 233-240 ◽

Cited By ~ 1

Author(s):

Bingqing Ma ◽

Guangyue Huang

Keyword(s):

Riemannian Manifolds ◽

Harmonic Curvature ◽

Noncompact Riemannian Manifolds

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On complete hypersurfaces with harmonic curvature in a Riemannian manifold of constant curvature

Tsukuba Journal of Mathematics ◽

10.21099/tkbjm/1496160502 ◽

1987 ◽

Vol 11 (1) ◽

pp. 61-76 ◽

Cited By ~ 2

Author(s):

U-Hang Ki ◽

Hisao Nakagawa ◽

Masaaki Umehara

Keyword(s):

Riemannian Manifold ◽

Constant Curvature ◽

Harmonic Curvature ◽

Complete Hypersurfaces

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Riemannian manifolds with harmonic curvature

Colloquium Mathematicum ◽

10.4064/cm6826-4-2016 ◽

2016 ◽

Author(s):

Guangyue Huang ◽

Bingqing Ma

Keyword(s):

Riemannian Manifolds ◽

Harmonic Curvature

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Classification of certain compact Riemannian manifolds with harmonic curvature and non-parallel Ricci tensor

Mathematische Zeitschrift ◽

10.1007/bf01215090 ◽

1980 ◽

Vol 172 (3) ◽

pp. 273-280 ◽

Cited By ~ 27

Author(s):

Andrzej Derdziński

Keyword(s):

Riemannian Manifolds ◽

Ricci Tensor ◽

Harmonic Curvature ◽

Parallel Ricci Tensor

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On Projective Transformations of Riemannian Spaces With Harmonic Curvature

New Developments in Differential Geometry, Budapest 1996 ◽

10.1007/978-94-011-5276-1_19 ◽

1999 ◽

pp. 279-283 ◽

Cited By ~ 2

Author(s):

J. Mikeš ◽

Ž. Radulović

Keyword(s):

Harmonic Curvature ◽

Projective Transformations ◽

Riemannian Spaces

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Real Hypersurfaces in Complex Two-Plane Grassmannians with GTW Harmonic Curvature

Canadian Mathematical Bulletin ◽

10.4153/cmb-2015-039-7 ◽

2015 ◽

Vol 58 (4) ◽

pp. 835-845 ◽

Cited By ~ 2

Author(s):

Juan de Dios Pérez ◽

Young Jin Suh ◽

Changhwa Woo

Keyword(s):

Real Hypersurfaces ◽

Harmonic Curvature

AbstractWe prove the non-existence of Hopf real hypersurfaces in complex two-plane Grassmannians with harmonic curvature with respect to the generalized Tanaka–Webster connection if they satisfy some further conditions.

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