Results 1 to 10 of about 604 (88)
Universe, 2023 We investigate the class of helical hypersurfaces parametrized by x=x(u,v,w), characterized by a light-like axis in Minkowski spacetime L4. We determine the matrices that represent the fundamental forms, Gauss map, and shape operator of x.
Erhan Güler
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The Intrinsic Conformal Structure and Gauss Map of a Light-Like Hypersurface in Minkowski Space [PDF]
Transactions of the American Mathematical Society, 1989 We begin by pointing out two subtleties in the global properties of hypersurfaces in Minkowski space which inherit a uniformly degenerate metric (i.e., the existence of global space-like sections and the notion of an icon; see Appendices 1 and 2). We then construct a Gauss map for such hypersurfaces and an intrinsic invariant.
Marek Kossowski, Kossowski Marek
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Hypersurfaces with light-like points in a Lorentzian manifold II [PDF]
Kodai Mathematical Journal, 2018 6 ...
Masaaki Umehara, Kotaro Yamada
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Hadamard States From Light-like Hypersurfaces [PDF]
, 2017 106 pages, 2 figures, to appear in SpringerBriefs in Mathematical Physics, references ...
Dappiaggi, Claudio +2 more
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Elements of celestial conformal field theory
Journal of High Energy Physics, 2022 In celestial holography, four-dimensional scattering amplitudes are considered as two-dimensional conformal correlators of a putative two-dimensional celestial conformal field theory (CCFT).
Wei Fan +4 more
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The Lanczos Equation on Light-Like Hypersurfaces in a Cosmologically Viable Class of Kinetic Gravity Braiding Theories [PDF]
Symmetry, 2019 We discuss junction conditions across null hypersurfaces in a class of scalar–tensor gravity theories (i) with second-order dynamics, (ii) obeying the recent constraints imposed by gravitational wave propagation, and (iii) allowing for a cosmologically viable evolution.
Bence Racskó, László Á. Gergely
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Sachs’ free data in real connection variables
Journal of High Energy Physics, 2017 We discuss the Hamiltonian dynamics of general relativity with real connection variables on a null foliation, and use the Newman-Penrose formalism to shed light on the geometric meaning of the various constraints.
Elena De Paoli, Simone Speziale
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On recurrent Light like Hypersurfaces of Indefinite Sasakian Manifold
International Journal of Chemistry, Mathematics and Physics, 2022 The object of present paper is to study the properties of recurrent lightlike hypersurfaces of indefinite Sasakian manifold with (l, m) –type connection.
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Hypersurfaces with light-like points
, 2018 Consider a constant mean curvature immersion $F:U(\subset \boldsymbol{R}^n)\to M$ into an arbitrary Lorentzian $(n+1)$-manifold $M$. A point $o\in U$ is called a light-like point if the first fundamental form $ds^2$ of $F$ degenerates at $o$. We denote by $B_F$ the determinant function of the symmetric matrix associated to $ds^2$ with respect to a ...
Umehara, Masaaki, Yamada, Kotaro
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OSSERMAN LIGHTLIKE HYPERSURFACE CASES
Al-UlumIn this study, we constructed four examples of light-like hypersurfaces that satisfy the conditions of an Osserman manifold, based on the characterisation of light-like hypersurfaces of a pseudo-Riemannian manifold of dimension m+2.
Paulin Shakwanda Mulebu +4 more
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