伊犁师范学院数学系,东北师范大学数学与统计学院 新疆伊宁835000,吉林,长春,130024
纸质出版:2006
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[1]张建华,裴东河.四维Minkowski空间内类空曲线的光锥高斯映射[J].新疆大学学报(自然科学版),2006(03):284-289.
张建华, 裴东河. 四维Minkowski空间内类空曲线的光锥高斯映射[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2006, (3).
定义了四维M inkow sk i空间内类空曲线的光锥高斯映射、光锥高度函数的概念
建立了这些对象的奇点与在洛仑兹群作用下曲线的几何不变量之间的关系.
In this paper
we defined the notions of lightcone Gauss map and lightcone height function of a spacelike curve in Minkowski 4-space
and established the relationships between singularities of these objects and geometric invariants of curves under the action Lorentz group.
THOM A S B anchoff,T erence G affney,C lin t M cC rory.Cusps of G auss M app ings[M].R esearch N otes in M ath.55P itm an,1982.
BRUCE JW,G IBL IN P J.Curves and S ingu larities(2nd.ed.)[M].C am bridge U n iv.P ress,1992.
BRUCE J W.O n s ingu larities,enve lopes and e lem en tary d ifferen tia l geom etry[J].M ath proc C am bridge ph ilos soc,1981,89:43-48.
BRUCE JW,G IBL IN P J.G eneric curves and surface[J].J London M ath soc,1981,24:555-561.
IZUM IYA S,PE I D-H,SANO T.T he ligh tcone G auss m ap and the ligh tcone deve lopab le of a space like curve inM inkow sk i 3-space[J].G lasgow M ath J,2000,42:75-89.
LZUM IYA S,PE I D,ROM ERO FU STER M C.T he ligh tcone G auss m ap of a space like surfaces in M inkow sk i 4-space[J].A s ian Journa l ofM athem atics,2004,8:511-530.
IZUM IYA S,KO SSOW SK IM,PE I D,et a l.R om ero Fuster,S ingu larities of ligh tlike hypersurfaces in M inkow sk i 4-space[J].T ohoku M athem atica l Journa l,2006,58:71-88.
IZUM IYA S,PE I D.T he s1t×s2sligh tcone G auss m ap of a Loren tz ian 3-subm an ifo ld in sem i-Euclidean 5-space(2003)[J].Hokka ido U n ivers ity T echn ica l R eport Series in M athem atics,2003,78:163-166.
O′NE ILL B.Sem i-R iem ann ian G eom etry[M].N ew Y ork:A cadem ic P ress,1983.
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