Results 11 to 20 of about 44,812 (174)

Yang-Mills Flow and Uniformization Theorems [PDF]

, 1997
We consider a parabolic-like systems of differential equations involving geometrical quantities to examine uniformization theorems for two- and three-dimensional closed orientable manifolds.
Chow B., Isenberg J., J. Gegenberg, S. P. Braham   +3 more
core   +3 more sources

Holomorphic Parabolic Geometries and Calabi-Yau Manifolds [PDF]

, 2011
We prove that the only complex parabolic geometries on Calabi-Yau manifolds are the homogeneous geometries on complex tori.
McKay, Benjamin
core   +4 more sources

Extension Phenomena for Holomorphic Geometric Structures [PDF]

, 2009
The most commonly encountered types of complex analytic G-structures and Cartan geometries cannot have singularities of complex codimension 2 or more.Comment: published ...
McKay, Benjamin
core   +8 more sources

Exterior differential systems, Lie algebra cohomology, and the rigidity of homogenous varieties [PDF]

, 1981
These are expository notes from the 2008 Srni Winter School. They have two purposes: (1) to give a quick introduction to exterior differential systems (EDS), which is a collection of techniques for determining local existence to systems of partial ...
Archivum Mathematicum, Joseph M. Landsberg, Joseph M. Landsberg   +2 more
core   +6 more sources

Lectures on Mirror Symmetry [PDF]

, 1994
We give an introduction to mirror symmetry of strings on Calabi-Yau manifolds with an emphasis on its applications e.g. for the computation of Yukawa couplings.
Hosono, S., Klemm, A., Theisen, S.
core   +3 more sources

Invariant Forms and Automorphisms of Locally Homogeneous Multisymplectic Manifolds

, 2012
It is shown that the geometry of locally homogeneous multisymplectic manifolds (that is, smooth manifolds equipped with a closed nondegenerate form of degree > 1, which is locally homogeneous of degree k with respect to a local Euler field) is ...
A. Banyaga, A. Banyaga, A. Banyaga, A. Banyaga, A. Banyaga, A. Echeverría-Enríquez, A. Echeverría-Enríquez, A. Echeverría-Enríquez, A. Echeverría-Enríquez, C. J. Atkin, C. M. Marle, C. Paufler, D. J. Saunders, F. Cantrijn, F. Cantrijn, F. Helein, F. Takens, G. Giachetta, G. Sardanashvily, H. Omori, I. V. Kanatchikov, J. E. Marsden, J. F. Cariñena, J. F. Cariñena, J. Gomis, J. Grabowski, J. Kijowski, J. Llosa, J. Martinet, L. A. Ibort, L. E. Pursell, L. Hwa Chung, M. de León, M. de León D. Martín de Diego, M. J. Gotay, M. Shafiee, M. Wechsler, N. Román-Roy, R. L. Bryant, W. M. Boothby, W. M. Tulczyjew, W. M. Tulczyjew   +41 more
core   +1 more source

On post-Lie algebras, Lie--Butcher series and moving frames

, 2013
Pre-Lie (or Vinberg) algebras arise from flat and torsion-free connections on differential manifolds. They have been studied extensively in recent years, both from algebraic operadic points of view and through numerous applications in numerical analysis,
A. Connes, A. Iserles, A. Lundervold, A. Lundervold, A. Zanna, A.A. Agrachev, Alexander Lundervold, B. Owren, B. Vallette, C. Brouder, C. Reutenauer, D. Lewis, D. Lewis, E. Celledoni, E. Hairer, E.B. Vinberg, E.L. Mansfield, F. Chapoton, H. Berland, H. Munthe-Kaas, H. Munthe-Kaas, H. Munthe-Kaas, H. Munthe-Kaas, H. Munthe-Kaas, H. Munthe-Kaas, H. Munthe-Kaas, Hans Z. Munthe-Kaas, J.C. Butcher, J.C. Butcher, J.C. Novelli, J.L. Loday, K.C.H. Mackenzie, M. Degeratu, M. Fels, M. Fels, M. Gerstenhaber, M. Goze, N. Jacobson, P.E. Crouch, P.J. Olver, R. Grossman, R.B. Gardner, R.W. Sharpe, S. Kobayashi   +43 more
core   +2 more sources

Free CR distributions [PDF]

, 2012
There are only some exceptional CR dimensions and codimensions such that the geometries enjoy a discrete classification of the pointwise types of the homogeneous models.
A. Čap, A. Čap, B. Doubrov, G. Schmalz, G. Schmalz, Gerd Schmalz, J. Šilhan, Jan Slovák, K. Yamaguchi, N. Tanaka, V.V. Ežov   +10 more
core   +2 more sources

Compact Riemannian Manifolds with Homogeneous Geodesics [PDF]

, 2009
A homogeneous Riemannian space $(M= G/H,g)$ is called a geodesic orbit space (shortly, GO-space) if any geodesic is an orbit of one-parameter subgroup of the isometry group $G$.
Alekseevsky, D. V., Nikonorov, Yu. G.
core   +5 more sources

Graded Differential Geometry of Graded Matrix Algebras

, 1999
We study the graded derivation-based noncommutative differential geometry of the $Z_2$-graded algebra ${\bf M}(n| m)$ of complex $(n+m)\times(n+m)$-matrices with the ``usual block matrix grading'' (for $n\neq m$).
Dubois-Violette M., Fuks D. B., G. Reiter, H. Grosse, Ruipérez D. Hernández, Ruipérez D. Hernández   +5 more
core   +2 more sources