Positivity of the second exterior power of the tangent bundles
Sign Up to like & getrecommendations! Published in 2021 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2021.107757
Abstract: Let $X$ be a smooth complex projective variety with nef $\bigwedge^2 T_X$ and $\dim X \geq 3$. We prove that, up to a finite etale cover $\tilde{X} \to X$, the Albanese map $\tilde{X} \to {\rm… read more here.
Keywords: nef bigwedge; positivity second; power tangent; exterior power ... See more keywords
Complex Functional Maps: A Conformal Link Between Tangent Bundles
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DOI: 10.1111/cgf.14437
Abstract: In this paper, we introduce complex functional maps, which extend the functional map framework to conformal maps between tangent vector fields on surfaces. A key property of these maps is their orientation awareness. More specifically,… read more here.
Keywords: functional maps; orientation; conformal link; tangent bundles ... See more keywords
New Cases of Homogeneous Integrable Systems with Dissipation on Tangent Bundles of Two-Dimensional Manifolds
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DOI: 10.1134/s1064562420050403
Abstract: The integrability of certain classes of homogeneous dynamical systems on the tangent bundles of two-dimensional manifolds is shown. The force fields involved in the systems lead to dissipation of variable sign and generalize previously considered… read more here.
Keywords: new cases; dissipation; dimensional manifolds; bundles two ... See more keywords
Laplacians for the holomorphic tangent bundles with g-nature metrics on complex Finsler manifolds
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DOI: 10.1142/s0129167x17400110
Abstract: Let M be a strongly pseudoconvex compact complex Finsler manifold. We first introduce a class of g-nature metric Ga,b for the slit holomorphic tangent bundle M = T1,0M∖{0} on M. Then, we define the complex… read more here.
Keywords: complex finsler; laplacians holomorphic; holomorphic tangent; tangent bundles ... See more keywords