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Conformal transformations in a twisted product space
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Abstract
The conharmonic transformation is a conformaltransformation which satisfies a specified differential equation.Such a transformation was defined by Y. Ishii and we havegeneralized his results. Twisted product space is a generalizedwarped product space with a warping function defined on a wholespace. In this paper, we partially classified the twisted productspace and obtain a sufficient condition for a twisted productspace to be locally Riemannian products.
참고문헌 (3)
- "1 \by Y. Agaoka and B. H. Kim \paper On conformally flat"
- "4 \by Y. Ishii \paper On conharmonic transformation"
- "U}nal \paper A curvature condition for a twisted product to be"
관련 논문AI추천
Conformal Transformations of a Weyl ManifoldFumio Narita, Takafumi Satou경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제1호Conformal deformations on warped product manifoldsByoung-SooByoung-Soon Jeong, Mi-Hyun Shin, Yoon-Tae Jung대한수학회 · 대한수학회논문집2003 · 제18권 제4호Einstein spaces and conformal vector fields김동수, 김영호, 박성희대한수학회 · 대한수학회지2006 · 제43권 제1호SPACES OF CONFORMAL VECTOR FIELDS ON PSEUDO-RIEMANNIAN MANIFOLDS김동수, 김영호대한수학회 · 대한수학회지2005 · 제42권 제3호Conformally Flat Quasi-Einstein SpacesDiptiman Saha, Joydeep Sengupta, Uday Chand De경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제3호A note on partially conformal geodesic transformation on the Kahler manifoldsBong-SikCho한국수학사학회 · 한국수학사학회지2003 · 제16권 제3호
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