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pro vyhledávání: '"Cho, Jong Taek"'
It is very well known that Hopf real hypersurfaces in the complex projective space can be locally characterized as tubes over complex submanifolds. This also holds true for some, but not all, Hopf real hypersurfaces in the complex hyperbolic space. T
Externí odkaz:
http://arxiv.org/abs/2206.12334
Autor:
Cho, Jong Taek, Kimura, Makoto
Publikováno v:
In Differential Geometry and its Applications April 2024 93
Ricci soliton contact metric manifolds with certain nullity conditions have recently been studied by Ghosh and Sharma. Whereas the gradient case is well-understood, they provided a list of candidates for the nongradient case.These candidates can be r
Externí odkaz:
http://arxiv.org/abs/1702.07256
Autor:
Cho, Jong Taek, Kimura, Makoto
Publikováno v:
In Differential Geometry and its Applications February 2020 68
Autor:
Cho, Jong Taek, Kimura, Makoto
Publikováno v:
In Topology and its Applications 1 September 2019 264:145-157
Autor:
Cho, Jong Taek
A contact 3-manifold $M$ admitting a transversal Ricci soliton $(g,v,\lambda)$ is either Sasakian or locally isometric to one of the Lie groups SU(2), $SL(2,R)$, E(2), E(1,1) with a left invariant metric.
Externí odkaz:
http://arxiv.org/abs/1202.5835
Autor:
Cho, Jong Taek
We introduce the notion of contact Ricci flow associated with the Reeb vector field. Using it, we give a simple proof of the Poincare conjecture.
Comment: This paper has been withdrawn by the author due to a serious gap in defining contact Ricci
Comment: This paper has been withdrawn by the author due to a serious gap in defining contact Ricci
Externí odkaz:
http://arxiv.org/abs/1104.1853
Autor:
Cho, Jong Taek
We give a simple proof of the Poincar\'e conjecture by using the contact Ricci flow associated with the Reeb vector field.
Comment: This paper has been withdrawn by the author due to a serious gap in defining contact Ricci flow
Comment: This paper has been withdrawn by the author due to a serious gap in defining contact Ricci flow
Externí odkaz:
http://arxiv.org/abs/1006.2511
Autor:
Cho Jong Taek
Publikováno v:
Complex Manifolds, Vol 6, Iss 1, Pp 279-293 (2019)
For a contact manifold, we study a strongly pseudo-convex CR space form with constant holomorphic sectional curvature for the Tanaka-Webster connection. We prove that a strongly pseudo-convex CR space form M is weakly locally pseudo-Hermitian symmetr
Externí odkaz:
https://doaj.org/article/624bef523df04ddb9129659f2d9b7a8b
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