Journal of the Ramanujan Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Circumscribing Tubes and Two-Point Homogeneous Spaces


Affiliations
1 Department of Mathematics, Katholieke Universiteit Leuven Celestijnenlaan 200b, B-3001, Leuven, Belgium
     

   Subscribe/Renew Journal


First one derives a general formula for the volume of a tube about a curve in a two-point homogeneous space. The expression depends only on the length of the curve and the volume of a geodesic sphere. This leads to an expression for the volume of a socalled circumscribing tube. Then one investigates to what extent this expression for that volume is characteristic for two-point homogeneous spaces.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 203

PDF Views: 0




  • Circumscribing Tubes and Two-Point Homogeneous Spaces

Abstract Views: 203  |  PDF Views: 0

Authors

L. Vanhecke
Department of Mathematics, Katholieke Universiteit Leuven Celestijnenlaan 200b, B-3001, Leuven, Belgium

Abstract


First one derives a general formula for the volume of a tube about a curve in a two-point homogeneous space. The expression depends only on the length of the curve and the volume of a geodesic sphere. This leads to an expression for the volume of a socalled circumscribing tube. Then one investigates to what extent this expression for that volume is characteristic for two-point homogeneous spaces.