Non-Euclidean motions in projective matrix spaces
Schwarz, B.; Zaks, A.
Linear Algebra and its Applications 137-138: 351-361
1990
ISSN/ISBN: 0024-3795 DOI: 10.1016/0024-3795(90)90134-x
Accession: 085968326
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References
Zhang, Y. 2009: Isometric embeddings of real projective spaces into Euclidean spaces Differential Geometry and its Applications 27(1): 100-103James, I.M. 1971: Euclidean Models of Projective Spaces Bulletin of the London Mathematical Society 3(3): 257-276
Steer, B. 1970: On the Embedding of Projective Spaces in Euclidean Space Proceedings of the London Mathematical Society s3-21(3): 489-501
Massey, W. 1959: On the imbeddability of the real projective spaces in Euclidean space Pacific Journal of Mathematics 9(3): 783-789
Erhan Ata; Yusuf Yayli 2009: Split quaternions and semi-Euclidean projective spaces Chaos, Solitons and Fractals 41(4): 1910-1915
Banu, A.; Ansary, M.A. 2009: Geodesic Motions in Euclidean Taub-NUT Spinning Spaces International Journal of Theoretical Physics 48(10): 2987-3000
Wuyi, H.S.I.A.N.G.; Straume, E. 1987: On the orbit structures of SU(n)-actions on manifolds of the type of Euclidean, spherical or projective spaces Mathematische Annalen 278(1-4): 71-97
A.V.Aminova, D.R.K. 2017: On projective motions of five-dimensional spaces of special form Russian Mathematics 61(5): 83-87
Gonzalez, J. 2011: Symmetric Topological Complexity as the first Obstruction in Goodwillie's Euclidean Embedding Tower for Real Projective Spaces Transactions of the American Mathematical Society 363(12): 6713-6741
Matsumoto, M. 1988: Theory of extended point transformations of Finsler spaces. II : Fundamental theorems of projective motions Tensor 47(3): 203-214
Andrews, J.J. 1958: A characterization of light open maps of Euclidean spaces into Euclidean spaces Proceedings of the American Mathematical Society 9(6): 860-861
Menger, K. 1938: A new Foundation of Non-Euclidean, Affine, Real Projective and Euclidean Geometry Proceedings of the National Academy of Sciences of the United States of America 24(10): 486-490
Schwarz, B.; Zaks, A.A. 1986: Higher dimensional Euclidean and hyperbolic matrix spaces Journal d'Analyse Mathematique 46(1): 271-282
Konnov, V.V. 2007: On canonical embeddings of complex projective spaces in real projective spaces Journal of Mathematical Sciences 142(5): 2367-2376
Dupont, J.L.; Sah, C.H. 1990: Homology of Euclidean groups of motions made discrete and Euclidean scissors congruences Acta Mathematica 164(1): 1-27
Guella, J.C.; Menegatto, V.A. 2019: Conditionally Positive Definite Matrix Valued Kernels on Euclidean Spaces Constructive Approximation 52(1): 65-92
Urban, P.; Rosen, M.R.; Berns, R.S.; Schleicher, D. 2007: Embedding non-Euclidean color spaces into Euclidean color spaces with minimal isometric disagreement Journal of the Optical Society of America. A Optics Image Science and Vision 24(6): 1516-1528
Chang, D.E.; Phogat, K.S.; Choi, J. 2020: Model Predictive Tracking Control for Invariant Systems on Matrix Lie Groups via Stable Embedding into Euclidean Spaces IEEE Transactions on Automatic Control 65(7): 3191-3198
Wong, Y. 1969: Euclidean 𝑛-planes in pseudo-euclidean spaces and differential geometry of Cartan domains Bulletin of the American Mathematical Society 75(2): 409-414
Kim, J.; Cho, S.-B. 2025: Unsupervised video anomaly detection by memory network with autoencoders in euclidean and non-euclidean spaces Pattern Recognition 167: 111759