No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Parametric manifolds. I. Extrinsic approach
1.Z. Perjés, “The parametric manifold picture of space–time,” Nucl. Phys. B 403, 809 (1993).
2.A. Zel’manov, Sov. Phys. Dokl. 1, 227–230 (1956).
3.A. Einstein and P. Bergmann, Ann. Math 39, 683–701 (1938);
3.this article was reprinted in Introduction to Modern Kaluza–Klein Theories, edited by T. Applequist, A. Chodos, and P. G. O. Freund (Addison–Welsey, Menlo Park, 1987).
4.M. do Carmo, Riemannian Geometry, translated by F. Flaherty (Birkhäuser, Boston, 1992).
5.R. Bishop and S. Goldberg, Tensor Analysis On Manifolds (Dover, New York, 1980).
6.B. O’Neill, Semi-Riemannian Geometry with Applications to Relativity (Academic, Orlando, 1983).
7.S. Kobayashi and K. Nomizu, Foundations of Differential Geometry (Wiley, New York, 1963), Vol. I.
8.R. Wald, General Relativity (University of Chicago, Chicago, 1984).
9.M. Spivak, A Comprehensive Introduction to Differential Geometry (Publish or Perish, Houston, 1979), Vol. II.
10.B. L. Reinhart, “The second fundamental from of a plane field,” J. Diff. Geom. 12, 619–627 (1977);
10.Differential Geometry of Foliations (Springer-Verlag, New York, 1980).
11.R. Jantzen and P. Carini, “Understanding space–time splittings and their relationships,” in Classical Mechanics and Relativity: Relationship and Consistency, edited by G. Ferrarese (Bibliopolis, Naples, 1991), pp. 185–241;
11.R. Jantzen, P. Carini, and D. Bini, “The many faces of gravitoelectromagnetism,” Ann. Phy. (NY) 215, 1–50 (1992).
12.S. Boersma and T. Dray, “Slicing, threading, and parametric manifolds,” Gen. Relativ. Gravit. (to appear).
13.M. Lottermoser, “Über den Newtonschen Grenzwert der Allgemeinen Relativitätstheorie und die relativistische Erweit-erung Newtonscher Anfangsdaten,” Dissertation der Fakultät für Physik der Ludwig-Maximilians-Universität München, 1988.
14.R. H. Gowdy, “Affine projection tensor geometry: Lie derivatives and isometries,” Preprint gr-qc/9408014;J. Math. Phys. 35, 1274–1301 (1994).
15.S. Boersma and T. Dray, “Parametric manifolds. II. Intrinsic approach,” J. Math. Phys. 36, 1394–1403 (1995), following paper.
16.S. G. Harris and R. J. Low, “Causal monotonicity and the Spahe of space" (in preparation);
16.“Causality conditions and Hausdorff orbit spaces” (to appear in Proceedings of the Geometry Conference at Katholieke Universiteit, Leuven and Brussels, Festschrift Nomizu, 1994);
16.“The method of timelike two-surfaces,” in Differential Geometry and Mathemati cal Physics, Contemporary Mathematics, Vol. 170, edited by J. K. Beem and K. Duggal (American Mathematical Society, Providence, 1994).
17.S. G. Harris and D. Garfinkle, “Ricci fall-off in static, globally hyperbolic, geodesically complete, Ricci-positive space-times” (to appear in Proceedings of the 7th Marcel Grossman Conference on General Relativity);
17.D. Garfinkle and S. G. Harris, “Ricci fall-off and the static observer space in the absence of singularities”(in preparation).
Article metrics loading...
Full text loading...