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Projectively flat Finsler spaces with certain $(\alpha, \beta)$-metrics
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Abstract
The (alpha ,beta )-metric is a Finsler metric whichis constructed from a Riemannian metric alpha and adifferential 1-form beta . In this paper, we discuss theprojective flatness of Finsler spaces with certain (alpha ,beta)-metrics ([5]) in a locally Minkowski space.
관련 논문AI추천
On a Finsler space with $(\alpha , \beta )$-metric and certain metrical non-linear connection김병두, 박하용, 박홍서대한수학회 · 대한수학회논문집2006 · 제21권 제1호Projectively flat Finsler space with an approximate Matsumoto metricByung-Doo Kim, Hong-Suh Park, Il-Yong Lee대한수학회 · 대한수학회논문집2003 · 제18권 제3호On a class of locally projectively flat general (α, β)-metricsHongmei Zhu, Xiaohuan Mo대한수학회 · 대한수학회보2017 · 제54권 제4호The $m$-th root Finsler metrics admitting $(\alpha,\beta)$-types김병두, 박하용대한수학회 · 대한수학회보2004 · 제41권 제1호Projective Change between Two Finsler Spaces with (α,β)-metricNarasimhamurthy Senajji Kampalappa, Vasantha Dogehalli Mylarappa경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제1호On weakly-Berwald spaces of special $(\a, \b)$-metrics이명한, 이일룡대한수학회 · 대한수학회보2006 · 제43권 제2호
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