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- ...ships between different Riemannian metrics defined on different Riemannian manifolds; it also provides one with the more general framework for comparing abstrac ====Category of pseudo-Riemannian manifolds==== ...3 KB (369 words) - 16:12, 4 October 2023
- ...ships between different Riemannian metrics defined on different Riemannian manifolds; it also provides one with the more general framework for comparing abstrac ====Category of pseudo-Riemannian manifolds==== ...3 KB (337 words) - 16:12, 4 October 2023
Page text matches
- ...ships between different Riemannian metrics defined on different Riemannian manifolds; it also provides one with the more general framework for comparing abstrac ====Category of pseudo-Riemannian manifolds==== ...3 KB (369 words) - 16:12, 4 October 2023
- ...ships between different Riemannian metrics defined on different Riemannian manifolds; it also provides one with the more general framework for comparing abstrac ====Category of pseudo-Riemannian manifolds==== ...3 KB (337 words) - 16:12, 4 October 2023
- ...manifold's geometry, or conversely the calculation of integrals over some manifolds can help determine correlation functions in certain CFTs. === Closed Einstein manifolds === ...4 KB (611 words) - 21:51, 4 December 2021
- Haken manifolds are named after Wolfgang Haken (b.1928) because their definition involves t ...jecture that,in general, CW--complexes <math>C_{wh}</math> of closed Haken manifolds, <math>M_{cH}</math>, are completely determined by the [[../QuantumFundamen ...8 KB (1,190 words) - 08:58, 23 October 2023
- ====Introduction: Cauchy-Riemann (''CR'') manifolds and generic submanifolds==== ...ambient <math>C^n</math>, and thus generalizes to abstract <math>CR</math> manifolds (''viz.'' A. Bogess, 2000). ...5 KB (881 words) - 21:49, 6 March 2022
- ...`transcedental approach' in our times is the study of ''complex algebraic manifolds'' ... ...student interested in applications should be interested in differentiable manifolds. The purpose of this informal Introduction is to develop an analogy between ...7 KB (1,066 words) - 12:37, 6 May 2023
- ...ath> are, respectively, the input and output [[../NoncommutativeGeometry4/|manifolds]] of the system , <math>S_{GD}</math>; Jones, A., Gray, A., and Hutton, R., ''Manifolds and Mechanics.'' , Cambridge University Press, Cambridge, UK, 1987. ...7 KB (1,020 words) - 15:26, 12 September 2020
- ...which the sides run through</br>a region of the parameter spaces where the manifolds are continuous.</p> ...2 KB (321 words) - 04:17, 2 June 2018
- ...s]], and/or the [[../CategoryOfRiemannianManifolds/|category of Riemannian manifolds]], such an unified categorical framework of Riemannian/ pseudo-Riemanian manifolds and their ...6 KB (843 words) - 14:21, 10 October 2023
- ...ecent years in the context of smooth Poisson [[../NoncommutativeGeometry4/|manifolds]], perhaps because of its potential applications in [[../PhysicalMathematic ...2 KB (277 words) - 05:04, 12 September 2020
- ...s, proving [[../DualityAndTriality/|duality]] [[../Formula/|theorems]] for manifolds and approximation theorems for topological spaces. A central problem in alg ...3 KB (274 words) - 12:39, 6 May 2023
- #[[../CategoryOfRiemannianManifolds/|category of Riemannian manifolds]] #Borel category ...4 KB (431 words) - 15:37, 12 September 2020
- ...an essential theory in the study of complex [[../NoncommutativeGeometry4/|manifolds]]. [[../LQG2/|computations]] in cohomology studies of complex manifolds in algebraic geometry utilize similar computations to those of cohomology t ...13 KB (1,553 words) - 12:37, 6 May 2023
- ...poid/|duality]] [[../Formula/|theorems]] for [[../NoncommutativeGeometry4/|manifolds]] and #[[../CategoryOfRiemannianManifolds/|category of Riemannian manifolds]] #Category of CW-complexes ...10 KB (1,003 words) - 12:39, 6 May 2023
- ...to analogies between groupoids and spaces or [[../NoncommutativeGeometry4/|manifolds]]; effectively, groupoids may be viewed as "adding the spatial notion of a ...4 KB (501 words) - 04:59, 12 September 2020
- ...poid/|duality]] [[../Formula/|theorems]] for [[../NoncommutativeGeometry4/|manifolds]] and approximation theorems for topological spaces. A central problem in a #[[../CategoryOfRiemannianManifolds/|category of Riemannian manifolds]] #Category of CW-complexes ...11 KB (1,301 words) - 12:39, 6 May 2023
- Objects other than surfaces can be manifolds. Most obviously, the curvature have been defined for manifolds (we shall indicate how this ...22 KB (3,631 words) - 16:04, 4 October 2023
- about an axis through the origin in <math>n</math>-space, invaraiant manifolds are the origin, the ...\dots, k-1</math>. Note that the <math>\mathbf{x}_i</math>s are invariant manifolds of <math>\boldsymbol{A}</math> as ...11 KB (1,774 words) - 15:02, 13 September 2010
- ==Quantized Riemannian Manifolds and Geometry== ...4 KB (535 words) - 15:53, 12 September 2020
- ...er-dimensional [[../NoncommutativeGeometry4/|manifolds]] (or n-dimensional manifolds)[2]. In general, an n-dimensional manifold is a space that locally looks li ...10 KB (1,413 words) - 03:34, 13 September 2020