Titlebook: Differential Geometry of Lightlike Submanifolds; Krishan L. Duggal,Bayram Sahin Book 2010 Birkhäuser Basel 2010 Semi-Riemannian geometry.d

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Applications of lightlike geometry,In this chapter we present applications of lightlike geometry in the study of null 2-surfaces in spacetimes, lightlike versions of harmonic maps and morphisms, CRstructures in general relativity and lightlike contact geometry in physics.

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Applications of lightlike hypersurfaces,rst, we deal with .. We prove a . and relate it with physically significant works of Galloway [197] on null hypersurfaces in general relativity, Ashtekar and Krishnan’s work [16] on dynamical horizons and Sultana-Dyer’s work [378, 379] on ., with related references. Secondly, we present the latest work on . [20].

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Rationalität und Egoismus im Recht r every pair (.) of the points . ∈ .. This function . is known as the Euclidean metric in .. Then, we call . with the metric . the .-dimensional Euclidean space. Consider . a real .-dimensional vector space with a symmetric bilinear mapping .: . × . → .. We say that g is positive (negative) definite

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https://doi.org/10.1007/978-3-658-43825-8from the point of physics lightlike hypersurfaces are of importance as they are models of various types of horizons, such as Killing, dynamical and conformal horizons, studied in general relativity (see some details in Chapter 3). However, due to the degenerate metric of a lightlike submanifold ., o

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Rationalität und Umweltverhaltenrst, we deal with .. We prove a . and relate it with physically significant works of Galloway [197] on null hypersurfaces in general relativity, Ashtekar and Krishnan’s work [16] on dynamical horizons and Sultana-Dyer’s work [378, 379] on ., with related references. Secondly, we present the latest w

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Rationalitäten des Kinderschutzesdegenerate case [45, 133 373], CR-lightlike submanifolds are non-trivial (i.e., they do not include invariant (complex) and real parts). Since then considerable work has been done on new concepts to obtain a variety of classes of lightlike submanifolds. In this chapter we present up-to-date new resu

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