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From conformal infinity to equations of motion: conserved quantities in general relativity. [PDF]
Penrose R.
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Gluing constructions for Lorentzian length spaces. [PDF]
Beran T, Rott F.
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TOTALLY GEODESIC SUBMANIFOLDS OF GL-MANIFOLDS
International Journal of Geometric Methods in Modern Physics, 2012In this paper, for a Finsler manifold (M, F) with a Finsler metric gij(x, y) we shall consider a generalized Lagrange metrics (FGL-metrics) as the form *gij(x, y) = gij(x, y) + σ(x, y)Bi(x, y)Bj(x, y) on TM. Then we shall consider a Riemannian manifold (TM, *G) in which *G is a generalized Sasakian metric of *g on [Formula: see text]. Then we restrict
Laleh, Abolghasem +2 more
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The Scalar Curvature on Totally Geodesic Fiberings
Annals of Global Analysis and Geometry, 2000A compact Riemannian manifold \(N\) with scalar curvature \(\kappa _n\) is said to satisfy a comparison theorem for the scalar curvature iff for any other compact Riemannian manifold \(M\) (\(\dim M = \dim N\)) the inequality \(\kappa _M(x)\leq\kappa _N(f(x))\) holds at some \(x\in M\) whenever \(f:M\to N\) is a vector contracting spin map of non-zero ...
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Congruences of totally geodesic surfaces
Classical and Quantum Gravity, 1989A congruence of m-dimensional surfaces on a manifold M is a family of m- dimensional submanifolds which foliates M. Let (M,g) be a pseudo- Riemannian manifold. If every leaf is a totally geodesic submanifold, the congruence is said totally geodesic. The surface has rank k (\(\leq m)\) if at each point the induced ``metric'' has rank k.
Plebański, Jerzy F., Rózga, Krzysztof
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TOTALLY GEODESIC SURFACES AND QUADRATIC FORMS
Journal of Knot Theory and Its Ramifications, 2013Let M be a compact, connected, irreducible, orientable 3-manifold with torus boundary. A closed, orientable, immersed, incompressible surface F in M with no incompressible annulus joining F and ∂M compresses in at most finitely many Dehn fillings M(α).
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Laplacian on a totally geodesic foliation
Journal of Geometry, 1997The work of \textit{L. Bérard-Bergery} and \textit{J.-P. Bourguignon} [Lect. Notes Math. 838, 30-35 (1981; Zbl 0437.53030)] on the Laplace-Beltrami operator acting on functions defined on the total space of a Riemannian submersion with totally geodesic fibers is extended to totally geodesic, bundle-like foliations \({\mathcal F}\) on a compact ...
Kang, Tae Ho +2 more
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On totally geodesic affine immersions
Journal of Geometry, 1993The author studies totally geodesic affine immersions into manifolds of recurrent curvature. In particular he gives sufficient conditions for the projective flatness of the submanifold. Examples are given for the classes of submanifolds studied.
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Totally geodesic holomorphic subspaces
Nonlinear Analysis: Real World Applications, 2007The author studies totally geodesic holomorphic subspaces in a complex Finsler space with respect to a complex Berwald connection. The equations of the holomorphic subspace have simple expressions. The totally geodesic subspaces are characterized by using the second fundamental form of the complex Berwald connection.
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A Practical Criterion For Some Submanifolds To Be Totally Geodesic
Monatshefte für Mathematik, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, Young Ho, Maeda, Sadahiro
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