CONFORMAL TRANSFORMATIONS IN A TWISTED PRODUCT SPACE |
KIM, BYUNG-HAK
(Department of Mathematics and Institute of Natural Sciences, Kyung Hee University)
JUNG, SEOUNG-DAL (Department of Mathematics, Cheju University) KANG, TAE-HO (Department of Mathematics, University of Ulsan) PAK, HONG-KYUNG (Department of Information Security, Daegu Haany University) |
1 | M. F. Lopez, E. Garcia-Rio, D. N. Kupeli, and B. Unal, A curvature condition for a twisted product to be a warped product, Manuscripta Math. 106 (2001), 213--217 DOI ScienceOn |
2 | Y. Ishii, On conharmonic transformation, Tensor (N.S.) 7 (1957), 73-80 |
3 | B. H. Kim, I. B. Kim, and S. M. Lee, Conharmonic transformation and critical Riemannian metrics, Commun. Korean Math. Soc. 12 (1997), 347-354 |
4 | Y. Agaoka and B. H. Kim, On conformally flat twisted product manifold, Mem. Fac. Imt. Arts and Sci., Hiroshima Univ. 23 (1997), 1-7 |
5 | A. Besse, Einstein manifolds, Springer, Berlin, 1987 |
6 | B. Y. Chen, Totally umbilical submanifolds, Soochow J. Math. 5 (1979), 9-37 |
7 | Y. Machida and H. Sato, Twistor spaces for real four-dimensional Lorentzian manifolds, Nagoya Math. J. 134 (1994), 107-135 |
8 | P. Peterser, Riemannian geometry, Springer, Berlin, 1997 |
9 | R. Ponge and H. Reckziegel, Twisted products in pseudo-Riemannian geometry, Geom. Dedicata 48 (1993), 15-25 |
10 | Y. Tashiro, Complete Riemannian manifolds and some vector fields, Trans. Amer. Math. Soc. 117 (1965), 251-275 |
11 | K. Yano, Concircular geometry, I, II, III, IV, Proc. Imp. Acad. Tokyo 16 (1940), 195-200, 354-360, 442-448, 505-511 |
12 | K. Yano, Concircular geometry, I, II, III, IV, Proc. Imp. Acad. Tokyo 18 (1942), 446-451 |