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Curvature identities on contact metric manifolds and their applications
배지홍,박정형,신원민 장전수학회 2015 Advanced Studies in Contemporary Mathematics Vol.25 No.3
We study curvature identities on contact metric manifolds on the geometry of the corresponding almost Kahler cones, and we provide applications of the derived curvature identities.
GRAY CURVATURE IDENTITIES FOR ALMOST CONTACT METRIC MANIFOLDS
Raluca Mocanu,Marian Ioan Munteanu 대한수학회 2010 대한수학회지 Vol.47 No.3
Alfred Gray introduced in [8] three curvature identities for the class of almost Hermitian manifolds. Using the warped product construction and the Boothby-Wang fibration we will give an equivalent of these identities for the class of almost contact metric manifolds.
GRAY CURVATURE IDENTITIES FOR ALMOST CONTACT METRIC MANIFOLDS
Mocanu, Raluca,Munteanu, Marian Ioan Korean Mathematical Society 2010 대한수학회지 Vol.47 No.3
Alfred Gray introduced in [8] three curvature identities for the class of almost Hermitian manifolds. Using the warped product construction and the Boothby-Wang fibration we will give an equivalent of these identities for the class of almost contact metric manifolds.
A REMARK CONCERNING UNIVERSAL CURVATURE IDENTITIES ON 4-DIMENSIONAL RIEMANNIAN MANIFOLDS
어윤희,Chohee Jeong,박정형 대한수학회 2012 대한수학회보 Vol.49 No.5
We shall prove the universality of the curvature identity for the 4-dimensional Riemannian manifold using a different method than that used by Gilkey, Park, and Sekigawa [5].
A REMARK CONCERNING UNIVERSAL CURVATURE IDENTITIES ON 4-DIMENSIONAL RIEMANNIAN MANIFOLDS
Euh, Yun-Hee,Jeong, Cho-Hee,Park, Jeong-Hyeong Korean Mathematical Society 2012 대한수학회보 Vol.49 No.5
We shall prove the universality of the curvature identity for the 4-dimensional Riemannian manifold using a different method than that used by Gilkey, Park, and Sekigawa [5].
Geometry of a semi-symmetric recurrent metric connection
김재만 대한수학회 2023 대한수학회논문집 Vol.38 No.4
In the present paper, we study a semi-symmetric recurrent metric connection and verify its various geometric properties.
Orthogonal almost complex structures on the Riemannian products of even-dimensional round spheres
어은희,Kouei Sekigawa 대한수학회 2013 대한수학회지 Vol.50 No.2
We discuss the integrability of orthogonal almost complex structures on Riemannian products of even-dimensional round spheres and give a partial answer to the question raised by E. Calabi concerning the existence of complex structures on a product manifold of a round 2-sphere and of a round 4-sphere.
Notes on a question raised by E. Calabi
Yunhee Euh,Kouei Sekigawa 대한수학회 2016 대한수학회보 Vol.53 No.1
We show that any orthogonal almost complex structure on a warped product Riemannian manifold of an oriented closed surface with nonnegative Gaussian curvature and a round 4-sphere is never integrable. This provides a partial answer to a question raised by E. Calabi.
NOTES ON A QUESTION RAISED BY E. CALABI
Euh, Yunhee,Sekigawa, Kouei Korean Mathematical Society 2016 대한수학회보 Vol.53 No.1
We show that any orthogonal almost complex structure on a warped product Riemannian manifold of an oriented closed surface with nonnegative Gaussian curvature and a round 4-sphere is never integrable. This provides a partial answer to a question raised by E. Calabi.
ORTHOGONAL ALMOST COMPLEX STRUCTURES ON THE RIEMANNIAN PRODUCTS OF EVEN-DIMENSIONAL ROUND SPHERES
Euh, Yunhee,Sekigawa, Kouei Korean Mathematical Society 2013 대한수학회지 Vol.50 No.2
We discuss the integrability of orthogonal almost complex structures on Riemannian products of even-dimensional round spheres and give a partial answer to the question raised by E. Calabi concerning the existence of complex structures on a product manifold of a round 2-sphere and of a round 4-sphere.