Results 71 to 80 of about 378,438 (215)

Fano manifolds with nef tangent bundle and large Picard number

, 2015
: We study Fano manifolds with nef tangent bundle and large Picard number.Key words: Fano manifold; nef tangent bundle; homogeneous manifold; large Picardnumber.1. Introduction.
Kiwamu Watanabe
semanticscholar   +1 more source

On maximal totally real embeddings

Complex Manifolds
We consider complex structures with totally real zero section of the tangent bundle. We assume that the complex structure tensor is real-analytic along the fibers of the tangent bundle.
Pali Nefton
doaj   +1 more source

New structures on the tangent bundles and tangent sphere bundles

, 2005
20 pages, LaTeX2e 4 ...
openaire   +2 more sources

Cognition: Differential-geometrical view on neural networks

Discrete Dynamics in Nature and Society, 1999
A neural network taken as a model of a trainable system appears to be nothing but a dynamical system evolving on a tangent bundle with changeable metrics. In other words to learn means to change metrics of a definite manifold.
S. A. Buffalov
doaj   +1 more source

The Lie Algebra of Smooth Sections of a T-bundle

International Journal of Industrial Engineering and Production Research, 2006
In this article, we generalize the concept of the Lie algebra of vector fields to the set of smooth sections of a T-bundle which is by definition a canonical generalization of the concept of a tangent bundle.
M. Nadjafikhah, H. R. Salimi Moghaddam
doaj  

Tangent bundles of Hantzsche–Wendt manifolds

Journal of Geometry and Physics, 2013
We formulate a condition for an existence of a $Spin^C$ - structure on an oriented at manifold $M^n$ with $H^2(Mn;R) = 0$. As an application we shall prove that all cyclic Hantzsche - Wendt manifolds have not the $Spin^C$-structure.
Gąsior, A., Szczepański, A.
openaire   +2 more sources

Higher order jet prolongations type gauge natural bundles over vector bundles

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2004
Let $rgeq 3$ and $mgeq 2$ be natural numbers and $E$ be a vector bundle with $m$-dimensional basis. We find all gauge natural bundles ``similar" to the $r$-jet prolongation bundle $J^rE$ of $E$.
Jan Kurek, Włodzimierz M. Mikulski
doaj  

On line bundles arising from the LCK structure over locally conformal Kähler solvmanifolds

Complex Manifolds
We can construct a real line bundle arising from the locally conformal Kähler (LCK) structure over an LCK manifold. We study the properties of this line bundle over an LCK solvmanifold whose complex structure is left-invariant. Mainly, we prove that this
Yamada Takumi
doaj   +1 more source

WEIGHTED METRICS ON TANGENT SPHERE BUNDLES [PDF]

The Quarterly Journal of Mathematics, 2011
Accepted and about to appear in Quarterly Journal of Mathematics. 16 pages.
openaire   +3 more sources

Five-dimensional Kaluza-Klein Theory reformulated

Revista Técnica de la Facultad de Ingeniería, 2011
This paper presents a reformulation of the five-dimensional Kaluza-Klein theory. taking into consideration the fact that these five dimensions of space-time are present on the tangent bundle of the Principal Bundle (B). Tb1s reformulation is possible due
Williams Pitter, Mario Choy
doaj