# Adapted metrics and Webster curvature in Finslerian 2-dimensional geometry

## Related Articles

- On decomposability of the curvature tensor in recurrent conformal Finsler spaces. Mishra, C. K.; Lodhi, Gautam // Differential Geometry--Dynamical Systems;2008, p235
The decomposability of curvature tensor in a Finsler manifold was studied by P. N. Pandey [2]. The purpose of the present paper is to decompose the curvature tensor in recurrent conformal Finsler space and study the properties of conformal decomposition tensors.

- Bochner-Kodaira techniques on KÃ¤hler Finsler manifolds. Xiao, Jinxiu; Qiu, Chunhui; Zhong, Tongde // Chinese Annals of Mathematics;Jan2015, Vol. 36 Issue 1, p125
A horizontal Hodge Laplacian operator â– is defined for Hermitian holomorphic vector bundles over PTM on KÃ¤hler Finsler manifold, and the expression of â– is obtained explicitly in terms of horizontal covariant derivatives of the Chern-Finsler connection. The vanishing theorem is...

- Symplectic connections induced by the Chern connection. Esrafilian, Ebrahim; Moghaddam, Hamid Reza Salimi // Differential Geometry--Dynamical Systems;2008, p99
Let (M; w) be a symplectic manifold and F be a Finsler structure on M. In the present paper we define a lift of the symplectic two-form w on the manifold TM\0, and find the conditions that the Chern connection of the Finsler structure F preserves this lift of w. In this situation if M admits a...

- Finsler metrics with constant (or scalar) flag curvature. MO, XIAOHUAN // Proceedings of the Indian Academy of Sciences: Mathematical Scie;Aug2012, Vol. 122 Issue 3, p411
By finding Killing vector fields of general Bryant's metric we give a lot of new Finsler metrics of constant (or scalar) flag curvature and determine their scalar curvature.

- Equivalence of Kropina and Projective Change of Finsler Metric. Shukla, H. S.; Pandey, O. P.; Prasad, B. N. // International Journal of Mathematical Combinatorics;Mar2013, Vol. 1, p77
A change of Finsler metric L(x, y) â†’ í˜“Ì„ (x, y) is called Kropina change if í˜“Ì„ (x, y) = LÂ²/Î² where Î²(x, y) = bi(x) yi is a one-form on a smooth manifold Mn. The change L â†’ í˜“Ì„ is called projective change if every geodesic of one space is...

- On concircularly recurrent Finsler manifolds. Youssef, Nabil L.; Soleiman, A. // Balkan Journal of Geometry & Its Applications;2013, Vol. 18 Issue 1, p101
Two special Finsler spaces have been introduced and investigated, namely Rh-recurrent Finsler space and concircularly recurrent Finsler space. The defining properties of these spaces are formulated in terms of the first curvature tensor of Cartan connection. The following three results...

- RELATIVE VOLUME COMPARISON THEOREMS IN FINSLER GEOMETRY AND THEIR APPLICATIONS. B. Y. WU // Bulletin of the Iranian Mathematical Society;2014, Vol. 40 Issue 1, p217
We establish some relative volume comparison theorems for extremal volume forms of Finsler manifolds under suitable curvature bounds. As their applications, we obtain some results on curvature and topology of Finsler manifolds. Our results remove the usual assumption on S-curvature that is...

- REDUCING DEHN FILLINGS AND SMALL SURFACES. LEE, SANGYOP; OH, SEUNGSANG; TERAGAITO, MASAKAZU // Proceedings of the London Mathematical Society;Jan2006, Vol. 92 Issue 1, p203
In this paper we investigate the distances between Dehn fillings on a hyperbolic 3-manifold that yield 3-manifolds containing essential small surfaces including non-orientable surfaces. In particular, we study the situations where one filling creates an essential sphere or projective plane, and...

- Laplacian on complex Finsler manifolds. Xiao, Jinxiu; Zhong, Tongde; Qiu, Chunhui // Chinese Annals of Mathematics;Jul2011, Vol. 32 Issue 4, p507
In this paper, the Laplacian on the holomorphic tangent bundle T M of a complex manifold M endowed with a strongly pseudoconvex complex Finsler metric is defined and its explicit expression is obtained by using the Chern Finsler connection associated with ( M, F). Utilizing the initiated...

- TAUT FOLIATIONS IN PUNCTURED SURFACE BUNDLES, II. ROBERTS, RACHEL // Proceedings of the London Mathematical Society;09/01/2001, Vol. 83 Issue 2, p443
Given a fibered 3-manifold M, we investigate exactly which boundary slopes can be realized by perturbing fibrations along product discs. Since these perturbed fibrations cap off to give taut foliations in the corresponding surgery manifolds, we obtain surgery information. For example, recall...