Results 11 to 20 of about 8,476 (22)

Simplicial Ricci Flow: An Example of a Neck Pinch Singularity in 3D [PDF]

, 2014
We examine a Type-1 neck pinch singularity in simplicial Ricci flow (SRF) for an axisymmetric piecewise flat 3-dimensional geometry with 3-sphere topology. SRF was recently introduced as an unstructured mesh formulation of Hamilton's Ricci flow (RF).
Alsing, Paul M., Corne, Matthew, Gu, Xianfeng, Lloyd, Seth, Miller, Warner A., Ray, Shannon, Yau, Shing-Tung   +6 more
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Geometric and Extensor Algebras and the Differential Geometry of Arbitrary Manifolds

, 2007
We give in this paper which is the third in a series of four a theory of covariant derivatives of representatives of multivector and extensor fields on an arbitrary open set U of M, based on the geometric and extensor calculus on an arbitrary smooth ...
A. M. MOYA, Fernández V. V., V. V. FERNÁNDEZ, W. A. RODRIGUES   +3 more
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Some Curvature Problems in Semi-Riemannian Geometry [PDF]

, 2010
In this survey article we review several results on the curvature of semi-Riemannian metrics which are motivated by the positive mass theorem. The main themes are estimates of the Riemann tensor of an asymptotically flat manifold and the construction of ...
AN Bernal, BL Reinhart, C Bär, D Maerten, E Witten, F Hirzebruch, F. Finster, F. Varela, FJ Tipler, G Huisken, H.L. Bray, HL Bray, P Yodzis, R Arnowitt, R Bartnik, R Schoen, R Schoen, RP Geroch, SK Donaldson, T Parker, WP Thurston   +20 more
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Hypercomplex manifolds with trivial canonical bundle and their holonomy

, 2007
Let (M,I,J,K) be a compact hypercomplex manifold admitting an HKT-metric. Assume that the canonical bundle of (M,I) is trivial as a holomorphic line bundle. We show that the holonomy of Obata connection on M is contained in SL(n,H).
Verbitsky, Misha
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The graded Jacobi algebras and (co)homology

, 2002
Jacobi algebroids (i.e. `Jacobi versions' of Lie algebroids) are studied in the context of graded Jacobi brackets on graded commutative algebras. This unifies varios concepts of graded Lie structures in geometry and physics.
, Beltrán J V, Brylinski J L, Courant T J, Courant T J, Dazord P, de León M, Dorfman I Ya, Fuchssteiner B, Giuseppe Marmo, Grabowska K, Grabowski J, Grabowski J, Guédira F, Iglesias D, Iglesias D, Janusz Grabowski, Kerbrat Y, Kirillov A, Kosmann-Schwarzbach Y, Kosmann-Schwarzbach Y, Kosmann-Schwarzbach Y, Kosmann-Schwarzbach Y, Koszul J-L, Krasil'shchik I S, Krasil'shchik I S, Krasil'shchik I S, Krasil'shchik I S, Lichnerowicz A, Liu Z-J, Mackenzie K, Mackenzie K C H, Martinez E, Michor P, Nijenhuis A, Petalidou F, Roytenberg D, Tan YouJun, Uchino K, Vaisman I, Vaisman I, Vinogradov A M, Vinogradov A M, Vinogradov M M, Witten E   +44 more
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Monge-Ampere equations and generalized complex geometry. The two-dimensional case

, 2006
We associate an integrable generalized complex structure to each 2-dimensional symplectic Monge-Amp\`ere equation of divergent type and, using the Gualtieri $\bar{\partial}$ operator, we characterize the conservation laws and the generating function of ...
Banos, Bertrand
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Topology of generalized complex quotients

, 2008
Consider the Hamiltonian action of a torus on a compact twisted generalized complex manifold $M$. We first observe that Kirwan injectivity and surjectivity hold for ordinary equivariant cohomology in this setting.
Atiyah, Atiyah, Atiyah, Ben-Bassat, Bursztyn, Cavalcanti, Caviedes, Gilbarg, Goldin, Guillemin, Guillemin, Hitchin, Hu, Hu, Izu, Lin, Lin, Lin, Matsumura, McCleary, Nitta, Stiénon, Thomas Baird, Tolman, Weibel, Yi Lin   +25 more
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Extended Riemannian Geometry II: Local Heterotic Double Field Theory

, 2018
We continue our exploration of local Double Field Theory (DFT) in terms of symplectic graded manifolds carrying compatible derivations and study the case of heterotic DFT.
Deser, Andreas, Heller, Marc Andre, Saemann, Christian   +2 more
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Coherent states and geometry on the Siegel-Jacobi disk

, 2014
The coherent state representation of the Jacobi group $G^J_1$ is indexed with two parameters, $\mu (=\frac{1}{\hbar})$, describing the part coming from the Heisenberg group, and $k$, characterizing the positive discrete series representation of $\text{SU}
Berceanu, Stefan
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Manifolds with parallel differential forms and Kaehler identities for G_2-manifolds

, 2008
Let M be a compact Riemannian manifold equipped with a parallel differential form \omega. We prove a version of Kaehler identities in this setting. This is used to show that the de Rham algebra of M is weakly equivalent to its subquotient $(H^*_c(M), d)$,
Acharya, Alekseevsky, Atiyah, Babenko, Barannikov, Berger, Bonan, Bryant, Bryant, Bryant, Cavalcanti, de Rham, Deligne, Dijkgraaf, Donaldson, Dwyer, Fernandez, Fernandez, Fernandez, Goldman, Gukov, Halperin, Harvey, Hitchin, Hitchin, Joyce, Joyce, Kovalev, Leung, Miller, Misha Verbitsky, Quillen, Salamon, Sullivan, Tao, Tian, Tralle, Vaisman, Verbitsky   +38 more
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