TY  - JOUR
T1  - AN ALMOST $2$-PARACONTACT STRUCTURE ON THE COTANGENT BUNDLE OF A CARTAN SPACE
AU  - Girtu, M.
PY  - 2004
DA  - January
JF  - Hacettepe Journal of Mathematics and Statistics
PB  - Hacettepe University
WT  - DergiPark
SN  - 2651-477X
SP  - 15
EP  - 22
VL  - 33
LA  - en
AB  - A Cartan space is a pair $(M,K)$, where $M$ is a smooth manifold and $K$an Hamiltonian on the slit cotangent bundle $T_0^{*}:=TM\ \{(x,0), x\in M\}$that is positively homogeneous of degree $1$ in momenta. We showthat $K$ induces an almost $2$-paracontact Riemannian structure on $T_0^{*}$whose restriction to the ¯guratrix bundle $\mathbb{K} =\{ (x,p)| K(x,p)=1 \}$is an almost paracontact structure. A condition for this almost para-contact structure to be normal is found, and its geometrical meaning ispointed out. Similar results for Finsler spaces can be found in [1] and[3].
KW  - $2$-paracontact structure
KW  - Cartan space
KW  - Cotangent bundle
CR  - /////
UR  - https://dergipark.org.tr/en/pub/hujms/article/530731
L1  - https://dergipark.org.tr/en/download/article-file/655244
ER  -