scholarly journals ASYMPTOTIC FOLIATIONS OF QUASI-HOMOGENEOUS CONVEX AFFINE DOMAINS

2017 ◽  
Vol 32 (1) ◽  
pp. 165-173
Author(s):  
Kyeonghee Jo
Keyword(s):  
Homogeneous Convex

Characterization of the barrier parameter of homogeneous convex cones

1998 ◽  
Vol 81 (1) ◽  
pp. 55-76 ◽  
Author(s):  
Osman Güler ◽  
Levent Tunçel
Keyword(s):  
Convex Cones ◽  
Barrier Parameter ◽  
Homogeneous Convex

scholarly journals Symmetric homogeneous convex domains

1984 ◽  
Vol 93 ◽  
pp. 1-17
Author(s):  
Tadashi Tsuji
Keyword(s):  
Real Number ◽  
Convex Domain ◽  
Convex Cone ◽  
Affine Transformations ◽  
Convex Domains ◽  
Affine Line ◽  
Homogeneous Convex

Let D be a convex domain in the n-dimensional real number space Rn, not containing any affine line and A(D) the group of all affine transformations of Rn leaving D invariant. If the group A(D) acts transitively on D, then the domain D is said to be homogeneous. From a homogeneous convex domain D in Rn, a homogeneous convex cone V = V(D) in Rn+1 = Rn × R is constructed as follows (cf. Vinberg [11]):which is called the cone fitted on the convex domain D.

scholarly journals The Construction of Homogeneous Convex Cones

1966 ◽  
Vol 83 (2) ◽  
pp. 358 ◽  
Author(s):  
O. S. Rothaus
Keyword(s):  
Convex Cones ◽  
Homogeneous Convex
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