Geodesic
ON THE CLASSIFICATION OF CONTACT RIEMANNIAN MANIFOLDS SATISFYING THE CONDITION (C)
Glasgow mathematical journal, Tome 45 (2003) no. 3, pp. 475-492

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DOI

Given a contact form $\eta$, there is a one-to-one correspondence between the Riemannian structures $(\eta,g)$ and the CR-structures $(\eta,L)$. It is interesting to study the interaction between the two associated structures. We approach the geometry of contact Riemannian manifolds in connection with their associated CR-structures. In this context, for a contact Riemannian manifold $(M;\eta,g)$ we consider the Jacobi-type operator $R_{\dot\gamma}=R(\cdot,\dot\gamma)\dot\gamma$ along a self-parallel curve $\gamma$ with respect to the (generalized) Tanaka connection $\hatbnabla$.This work was financially supported by Chonnam National University in the program, 2001.
DOI : 10.1017/S0017089503001393
Mots-clés : 53C15, 53C25 
CHO, JONG TAEK; CHUN, SUN HYANG. ON THE CLASSIFICATION OF CONTACT RIEMANNIAN MANIFOLDS SATISFYING THE CONDITION (C). Glasgow mathematical journal, Tome 45 (2003) no. 3, pp. 475-492. doi: 10.1017/S0017089503001393
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     author = {CHO, JONG TAEK and CHUN, SUN HYANG},
     title = {ON {THE} {CLASSIFICATION} {OF} {CONTACT} {RIEMANNIAN} {MANIFOLDS} {SATISFYING} {THE} {CONDITION} {(C)}},
     journal = {Glasgow mathematical journal},
     pages = {475--492},
     year = {2003},
     volume = {45},
     number = {3},
     doi = {10.1017/S0017089503001393},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089503001393/}
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