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FINSLER SPACES WITH INFINITE SERIES (α, β)-METRIC
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 Title & Authors
FINSLER SPACES WITH INFINITE SERIES (α, β)-METRIC
Lee, Il-Yong; Park, Hong-Suh;
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 Abstract
In the present paper, we treat an infinite series (, )-metric L =/(-). First, we find the conditions that a Finsler metric F with the metric above be a Berwald space, a Douglas space, and a projectively flat Finsler space, respectively. Next, we investigate the condition that a two-dimensional Finsler space with the metric above be a Landsbeg space. Then the differential equations of the geodesics are also discussed.愠䥮景牭慴楯渠慮搠䍯浭畮楣慴楯湳⁓潣楥瑹 k楣猑h瑴瀺⼯歩捳⹯爮歲渀ᔀ鳪떭鷫겼뗭閙谂ÁԳK潲敡渠卯捩整礠景爠䉩潴散桮潬潧礠慮搠䉩潥湧楮敥物湧Ѐ歩扢ᘀ桴瑰㨯⽷睷⹫獢戮潲⹫爯椀᠀鳪떭듬뚕鳪뎵駭验Ȁ섃ⴀ周攠䭯牥慮⁉湳瑩瑵瑥映䉵楬摩湧⁃潮獴牵捴楯渄k楢挔h瑴瀺⼯睷眮歩挮潲⹫爀刀ᔀ鳪떭ꃬꂄ듭閙谂ÁЙK潲敡⁇敮潭攠佲条湩穡瑩潮̀歧漕h瑴瀺⼯睷眮歯杯⹯爮歲嬀ሀ胭閜胫ꚬ駭验Ȁ섅ἀ周攠䭯牥慮⁇敯杲慰桩捡氠卯捩整礃k杳ᬀ桴瑰㨯⽷睷⹫来潧牡灨礮潲⹫爀ഀ顝ヨ⨀죡ﶖ⨀⢜ヨ⨀増ヨ⨀þﺖ⨀죗ﺖ⨀颒ヨ⨀ ﺖ⨀ﺖ⨀䡯ヨ⨀㣣ﺖ⨀꣖ﶖ⨀꣱ﺖ⨀烻ﶖ⨀࡜ヨ⨀ピﶖ⨀tヨ⨀堀ᔀ鳪떭胫나뗭閙谂ÁКK潲敡渠䝥潴散桩捡氠卯捩整礄k杴猙h瑴瀺⼯睷眮歧獨潭攮潲⹫爯䨀ༀ鳪떭䡃䧭閙谂Á̔H䍉⁓潣楥瑹映䭯牥愄k档椗h瑴瀺⼯睷眮档楫潲敡⹯牧欀᠀鳪떭胬ꂕ蓭颸駭验Ȁ섃⌀周攠䭯牥慮⁁捡摥浩挠卯捩整礠潦⁈潭攄k档渠h瑴瀺⼯獯捩整礮歩獴椮牥⹫爯繫档渀堀ሀ鳪떭볪놰駭验Ȁ섄Ḁ周攠䭯牥慮⁈潵獩湧⁁獳潣楡瑩潮̀歨攙h瑴瀺⼯睷眮歨潵獩
 Keywords
Berwald space;Douglas space;differential equations of geodesics;Finsler space;-metric;Landsberg space;projectively flat.;
 Language
English
 Cited by
1.
ON DOUGLAS SPACE WITH AN APPROXIMATE INFINITE SERIES $({\alpha},\;{\beta})$-METRIC,;

충청수학회지, 2009. vol.22. 4, pp.699-716
1.
RETRACTED: On two subclasses of -metrics being projectively related, Journal of Geometry and Physics, 2012, 62, 2, 292  crossref(new windwow)
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