In this article, we study the steady, shrinking, and expanding Kahler-Ricci solitons with vanishing Bochner-Weyl tensor and prove that, under this condition, the Ricci solitons must have constant holomorphic sectional...In this article, we study the steady, shrinking, and expanding Kahler-Ricci solitons with vanishing Bochner-Weyl tensor and prove that, under this condition, the Ricci solitons must have constant holomorphic sectional curvature.展开更多
In the present paper we give the Riemannian structure of the locally symmetric and cosymplecic Bochner flat manifolds,and study the spectrum of Laplacian on them.
基金supported by the National Natural Science Foundation of China under the grant numbers 11126073the Fundamental Research Funds for the Central Universities of SCUT under the grant number 2012ZB0017
文摘In this article, we study the steady, shrinking, and expanding Kahler-Ricci solitons with vanishing Bochner-Weyl tensor and prove that, under this condition, the Ricci solitons must have constant holomorphic sectional curvature.
文摘In the present paper we give the Riemannian structure of the locally symmetric and cosymplecic Bochner flat manifolds,and study the spectrum of Laplacian on them.
基金Supported by NSF of Hubei provincial Department of Education(D20221302)National Natural Science Foundation of China(11971358)the PhD Start-up Fund of Yangtze University。
