کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10734775 1044128 2005 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the curvature of Kähler-Norden manifolds
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
On the curvature of Kähler-Norden manifolds
چکیده انگلیسی
Using the one-to-one correspondence between Kähler-Norden and holomorphic Riemannian metrics, important relations between various Riemannian invariants of manifolds endowed with such metrics are established. Especially, the holomorphic versions of the recurrence of the Riemann, Ricci, projective are defined and investigated. For four-dimensional Kähler-Norden manifolds, it is proved that they are of holomorphically recurrent curvature on the set where the holomorphic scalar curvature does not vanish. Furthermore, a four-dimensional Kähler-Norden manifold is (locally) conformally flat if and only if its holomorphic scalar curvature is constant pure imaginary. The present paper continues author's investigations of Kähler-Norden manifolds from the papers [K. Słuka, On Kähler manifolds with Norden metrics, An. Ştiint. Univ. Al.I. Cuza IaşI Ser. Ia Mat. 47 (2001) 105-122; K. Słuka, Properties of the Weyl conformal curvature of Kähler-Norden manifolds, in: Proc. Colloq. Diff. Geom. on Steps in Differential Geometry, July 25-30, 2000, Debrecen, 2001, pp. 317-328].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 54, Issue 2, 1 June 2005, Pages 131-145
نویسندگان
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