Results 1 to 10 of about 5,580,569 (251)
H -projective connections and H -projective transformations [PDF]
, 1978 YOSHIMATSU, YASHIRO
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Projective Connections and Projective Transformations [PDF]
Nagoya Mathematical Journal, 1957 The main purpose of the present paper is to establish a theorem concerning the relation between the group of all projective transformations on an affinely connected manifold and the group of all affine transformations.
N. Tanaka
openaire +3 more sources
Higher Order Connections [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The purpose of this article is to present the theory of higher order connections on vector bundles from a viewpoint inspired by projective differential geometry.
Michael G. Eastwood
doaj +6 more sources
Metric connections in projective differential geometry [PDF]
, 2008 We search for Riemannian metrics whose Levi-Civita connection belongs to a given projective class. Following Sinjukov and Mikes, we show that such metrics correspond precisely to suitably positive solutions of a certain projectively invariant finite-type
A.R. Gover +6 more
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On real projective connections, V.I. Smirnov's approach, and black hole type solutions of the Liouville equation [PDF]
, 2015 We consider real projective connections on Riemann surfaces and corresponding solutions of the Liouville equation. It is shown that these solutions have singularities of special type (of a black hole type) on a finite number of simple analytical contours.
Takhtajan, Leon A
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Logarithmic Projective Connections
Tokyo Journal of Mathematics, 1993 Let \(X\) be a complex manifold of dimension \(n \geq 2\) and \(D\) a reduced effective divisor with only normal crossing singularities. Then, via a suitable locally finite open covering of \(X\), the divisor \(D\) is locally defined by equations \(z_ 1\dots z_ n = 0\), and such a local coordinate system is called a logarithmic coordinate system along \
Masahide Kato
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Moduli of unramified irregular singular parabolic connections on a smooth projective curve [PDF]
, 2012 In this paper we construct a coarse moduli scheme of stable unramified irregular singular parabolic connections on a smooth projective curve and prove that the constructed moduli space is smooth and has a symplectic structure.
M. Inaba, Masahiko Saito
semanticscholar +3 more sources
Constructing Complete Projectively Flat Connections [PDF]
Rocky Mountain Journal of Mathematics, 2005 The purpose of this note is to tie up a couple of loose ends in the classical theory of linear connections. The author studies the problem if on a compact manifold with complete connection, any two points can be joined by a geodesic. The following result is proved: Let \(T^2\) be the two-dimensional torus.
Ralph Howard
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Projective Tensors and Connections [PDF]
Proceedings of the National Academy of Sciences, 1928 O. Veblen
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Inflation from dynamical projective connections [PDF]
Physical Review D, 2022 We show how the recently developed string-inspired, projectively-invariant gravitational model Thomas-Whitehead gravity (TW gravity) naturally gives rise to a field acting as the inflaton.
M. Abdullah +6 more
semanticscholar +1 more source