Sasaki-like almost contact complex Riemannian manifolds

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• 作者：Stefan Ivanov^a ; ^b ; ^c ; ^{ivanovsp@fmi.uni-sofia.bg" class="auth_mail" title="E-mail the corresponding author} ; Hristo Manev^e ; ^d ; ^{hmanev@meduniversity-plovdiv.bg" class="auth_mail" title="E-mail the corresponding author} ; Mancho Manev^d ; ^e ; ^{mmanev@uni-plovdiv.bg" class="auth_mail" title="E-mail the corresponding author}
• 关键词：53C15 ; 53C25 ; 53C50
• 刊名：Journal of Geometry and Physics
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：107
• 期：Complete
• 页码：136-148
• 全文大小：468 K

文摘

A Sasaki-like almost contact complex Riemannian manifold is defined as an almost contact complex Riemannian manifold whose complex cone is a holomorphic complex Riemannian manifold. Explicit compact and non-compact examples are given. A canonical construction producing a Sasaki-like almost contact complex Riemannian manifold from a holomorphic complex Riemannian manifold is provided as an S¹$S^1$-solvable extension.