Titlebook: Semi-Riemannian Maps and Their Applications; Eduardo García-Río,Demir N. Kupeli Book 1999 Springer Science+Business Media Dordrecht 1999 R

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Semi-Riemannian Transversal Maps,on the target manifold. If this semi-Riemannian foliation is taken to be the points of the target manifold, then the definition of a semi-Riemannian map with respect to such a foliation reduces to the definition of a semi-Riemannian map.

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Applications To Splitting Theorems, semi-Riemannian manifold (., .) yields a splitting of (., .) into a semi-Riemannian product manifold, provided that ? . is a complete vector field on (., .). We also know from Proposition 6.2.5 that being affine for a solution . of a semi-Riemannian eikonal equation is related to the Ricci curvatur

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Mathematics and Its Applicationshttp://image.papertrans.cn/s/image/864807.jpg

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Linear Algebra of Indefinite Inner Product Spaces,In this chapter we collect the mechanisms behind the linear algebra of real inner product spaces. Some of these were developed for certain classes of geometric objects in other literature, yet their proofs involve only the linear algebraic properties of the geometric objects at hand.

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Semi-Riemannian Transversal Maps,on the target manifold. If this semi-Riemannian foliation is taken to be the points of the target manifold, then the definition of a semi-Riemannian map with respect to such a foliation reduces to the definition of a semi-Riemannian map.

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Book 1999ian manifold to 1-dimensionalsemi- Euclidean space. In Chapter 7 some splitting theorems areobtained by using the existence of a semi-Riemannian map. ..Audience:. This volume will be of interest to mathematicians andphysicists whose work involves differential geometry, global analysis,or relativity and gravitation.