Yazar "Shen, Zhongmin" seçeneğine göre listele

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    ON A CLASS OF FINSLER METRICS OF QUADRATIC WEYL CURVATURE
    (Tohoku University, 2023) Gabrani, Mehran; Sevim, Esra Sengelen; Shen, Zhongmin
    The class of warped product manifolds plays an important role in differential geometry and physics. In this paper, we shall study product manifolds R x ?????? with Finsler metrics arising from warped product structure. We give an equivalent condition for those metrics to be of quadratic Weyl curvature.
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    ON A CLASS OF RICCI-FLAT DOUGLAS METRICS
    (World Scientific Publ Co Pte Ltd, 2012) Sevim, Esra Sengelen; Shen, Zhongmin; Zhao, Lili
    In this paper, we study a special class of Finsler metrics which are defined by a Riemannian metric and a 1-form on a manifold. We find equations that characterize Ricci-flat Douglas metrics among this class.
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    On Some Ricci Curvature Tensors in Finsler Geometry
    (Springer Basel Ag, 2023) Sevim, Esra Sengelen; Shen, Zhongmin; Ulgen, Semail
    In this paper, we discuss several Ricci curvature tensors and their relationship with the Ricci curvature and some non-Riemannian quantities. By these Ricci curvature tensors, we shall have a better understanding on the non-Riemannian quantities.
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    On strongly Ricci-Quadratic Finsler Metrics
    (Springer, 2023) Sevim, Esra Sengelen; Shen, Zhongmin; Ulgen, Semail
    Finsler metrics being Ricci-quadratic is a non-Riemannian condition since the Ricci curvature (tensor) is always Ricci-quadratic for Riemannian metrics. In this paper, we introduce the notion of strongly Ricci-quadratic Finsler metrics. We classify strongly Ricci-quadratic Randers metrics expressed in a navigation form.
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    Randers Metrics of Constant Scalar Curvature
    (Canadian Mathematical Soc, 2013) Sevim, Esra Sengelen; Shen, Zhongmin
    Randers metrics are a special class of Finsler metrics. Every Randers metric can be expressed in terms of a Riemannian metric and a vector field via Zermelo navigation. In this paper, we show that a Randers metric has constant scalar curvature if the Riemannian metric has constant scalar curvature and the vector field is homothetic.
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    Some projectively Ricci-flat (?, ?)-metrics
    (Springer, 2023) Gabrani, Mehran; Sevim, Esra Sengelen; Shen, Zhongmin
    In this paper, we construct some projectively Ricci-flat Finsler metrics defined by a Riemannian metric a and a 1-form beta. Moreover, we classify the projectively Ricci-flat (alpha, beta)-metrics under the condition, that beta is a non-parallel Killing form which has non-zero constant length.
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    Some Ricci-flat Finsler metrics
    (Kossuth Lajos Tudomanyegyetem, 2013) Sevim, Esra Sengelen; Shen, Zhongmin; Zhao, Lili
    In this paper, we construct some Ricci-fiat Finsler metrics defined by a Riemannian metric and a 1-form.