This paper deals with the curvature properties of a class of globally null manifolds (M, g) which admit a global null vector field and a complete Riemannian hypersurface. Using the warped product technique we study the fundamental problem of finding a warped function such that the degenerate metric
โฆ LIBER โฆ
Partial differential equations and scalar curvature of warped product manifolds
โ Scribed by Paul E. Ehrlich; Yoon-Tae Jung; Seon-Bu Kim; Cheol-Guen Shin
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 89 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0362-546X
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Representation of zero curvature for the system of essentially nonlinear partial differential equations X~,z~ = exp(y,r~=lkc~3x3), 1 <<, ~ <<, r, with an arbitrary numeral matrix k is constructed in an explicit form. On the basis of this representation we give an invariant integration method for the