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The ane homogeneous hypersurface in Rn +1 , whichis a graph of a function F : Rn ! R with jdetDdF j = 1, cor-responds to a complete unimodular left symmetric algebra with anondegenerate Hessian type inner product. We will investigate thecondition for the domain over the homogeneous hypersurface to behomogeneous through an extension of the complete unimodular leftsymmetric algebra, which is called the graph extension.
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참고문헌 (14)
참고문헌 신청
/ 1976 / On certain locally at homogeneous manifolds of solvable Lie groups : 229 ~
/ 1986 / Ane manifolds and orbits of algebraicgroups : 198 ~
/ 1986 / Complete left invariant ane structures on nilpotent Lie groups 24 : 373 ~ 394
/ 1992 / The structure of complete left-symmetric algebras : 578 ~
/ 1994 / Level surfaces of nondegenerate functions inRn +1 : 193 ~ 2041324uncherlhoi
/ 1986 / Ane manifolds and orbits of algebraicgroups : 198 ~
/ 1986 / Complete left invariant ane structures on nilpotent Lie groups 24 : 373 ~ 394
/ 1992 / The structure of complete left-symmetric algebras : 578 ~
/ 1994 / Level surfaces of nondegenerate functions inRn +1 : 193 ~ 2041324uncherlhoi
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