A complex paraconformal manifold is a pq-dimensional complex manifold (p, q greater-than-or-equal-to 2) whose tangent bundle factors as a tensor product of... TN Bailey,MG Eastwood - 《Forum Mathematicum》 被引量: 193发表: 1991年 Quaternionic Analysis on Riemann Surfaces and Differential Ge...
The tangent bundle of a Riemannian manifold (M,g) with non-degenerated g-natural metric G that admits a Killing vector field is investigated. Using Taylor'... S Ewert-Krzemieniewski - 《Mathematics》 被引量: 6发表: 2013年 Conformal vector fields on tangent bundle of Finsler manifolds Let ...
Tangent bundle and indicatrix bundle of a Finsler manifoldAntonelli, P LZastawniak, T J
We obtain that the horizontal and naturallifts of the curves from the Heisenberg manifold $(H_3,g)$, are geodesics inthe tangent bundle endowed with the Sasaki metric $(TH_3,g^s)$, if and only ifthe curves considered on the base manifold are geodesics. Then, we get twoparticular ...
In this paper we give some examples of almost para-hyperhermitian structures on the tangent bundle of an almost product manifold, on the product manifold M × ℝ, where M is a manifold endowed with a mixed 3-structure and on the circle bundle over a manifold with a mixed 3-structure. ...
Let (M 3 ,α) be three-dimensional compact orientable manifold without boundary and let α be a contact form on M 3 . Let v be a nonzero vector field in Kerα and let ξ be the Reeb vector field of α. If β=dα(v,·) is a contact form w... A Bahri - 《Palestine Journal...
Structure of Manifolds of Nonpositive Curvature. II Let (M,g) be a compact Riemannian manifold, without boundary, of nonpositive sectional curvature. Let u be a vector in the unit tangent bundle SM of M. We define rank(u) to be the dimension of the space of all parallel Jacobi fields ...
more precisely that if X is a locally closed definable set such that for every x∈X, tgxX is a k-dimensional linear subspace (k is independent of x) varying continuously in x and the density θ(X,x)<3/2 (need not be upper bounded by an m<32), then X is a C1 manifold (Theore...
TangentCategories DavidM.Roberts,UrsSchreiberandToddTrimble September5,2007 Abstract Foranyn-categoryCweconsiderthesub-n-categoryTC⊂C 2 of squaresinCwithpinnedleftboundary.Thisresolvesthespaceofobjects inCinanaturalway.WedescribevariouspropertiesofTCandindicate whyitdeservestobeaddressedasthetangentn-categoryof...
Huybrechts D.: The tangent bundle of a Calabi–Yau manifolddeformations and restriction to rational curves. Comm. Math. Phys. 171 (1), 139–158 (1995) ADS MATH MathSciNetD. Huybrechts. The tangent bundle of a Calabi-Yau manifold--deformations and restriction to rational curves. Comm. Math...