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HEDAYATIAN, S., BIDABAD, B.. (1383). CONFORMAL VECTOR FIELDS ON TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD. , 29(3), 531-539. doi: 10.22099/ijsts.2005.2827
S. HEDAYATIAN; B. BIDABAD. "CONFORMAL VECTOR FIELDS ON TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD". , 29, 3, 1383, 531-539. doi: 10.22099/ijsts.2005.2827
HEDAYATIAN, S., BIDABAD, B.. (1383). 'CONFORMAL VECTOR FIELDS ON TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD', , 29(3), pp. 531-539. doi: 10.22099/ijsts.2005.2827
HEDAYATIAN, S., BIDABAD, B.. CONFORMAL VECTOR FIELDS ON TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD. , 1383; 29(3): 531-539. doi: 10.22099/ijsts.2005.2827

CONFORMAL VECTOR FIELDS ON TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD

Iranian Journal of Science
مقاله 18، دوره 29، شماره 3، اسفند 2005، صفحه 531-539    اصل مقاله (232.78 K)
نوع مقاله: Research Note
شناسه دیجیتال (DOI): 10.22099/ijsts.2005.2827
نویسندگان
S. HEDAYATIAN؛ B. BIDABAD*
Faculty of Mathematics, Amir-Kabir University of Technology, Hafez Ave. 15914, Tehran, I. R. of Iran
چکیده
Let M be an n-dimensional Riemannian manifold and TM its tangent bundle. The
conformal and fiber preserving vector fields on TM have well-known physical interpretations and have
been studied by physicists and geometricians. Here we define a Riemannian or pseudo-Riemannian lift
metric g􀀄 on TM , which is in some senses more general than other lift metrics previously defined on
TM , and seems to complete these works. Next we study the lift conformal vector fields on (TM,g􀀄) and
prove among the others that, every complete lift conformal vector field on TM is homothetic, and
moreover, every horizontal or vertical lift conformal vector field on TM is a Killing vector.
کلیدواژه‌ها
Complete lift metric؛ Conformal؛ Homothetic؛ Killing and Fiber-preserving vector fields
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