Randers surfaces whose Laplacians have completely positive symbol

Nonlinear Analysis, Theory, Methods and Applications

Volumn 38, Issue 1, 1999, Pages 27-40

  Bao, David ^a   Lackey, Brad ^b  

^a University of Houston   (United States)

^b UNIVERSITY OF ALBERTA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN MOVEMENT; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS;

FINSLER SURFACE; GEOMETRIC INEQUALITY; GEOMETRIC RATIO; LAPLACE-BELTRAMI OPERATOR; RANDERS SPACE; WEITZENBOCK FORMULA;

NUMERICAL ANALYSIS;

EID: 0033212627     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00094-2     Document Type: Article

References (11)

1. P.L. Antonelli, R.H. Bradbury, Volterra-Hamilton Models in the Ecology and Evolution of Colonial Animals, World Scientific, Singapore, 1996.
2. P.L. Antonelli, R.S. Ingarden, M. Matsumoto, The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology, Reidel and Kluwer Academic Publishers, Dordrecht, 1993.
3. P.L. Antonelli, B. Lackey, The Theory of Finslerian Laplacians with Applications, Kluwer Academic Publishers, Dordrecht, in press.
4. D. Bao, S.S. Chern, A note on the Gauss-Bonnet theorem for Finsler spaces, Ann. Math. 143 (1996) 233-252.
5. D. Bao, S.S. Chern, Z. Shen, An Introduction to Riemann-Finsler Geometry, in press.
6. D. Bao, B. Lackey, A hodge decomposition theorem for Finsler spaces, C.R. Acad. Sci. 323 (1996) 51-56.
7. D. Bao, B. Lackey, A geometric inequality and a Weitzenböck formula for Finsler surfaces, in: P.L. Antonelli, B. Lackey (Eds.), The Theory of Finslerian Laplacians with Applications, Kluwer Academic Publishers, Dordrecht, in press.
8. D. Bao, Z. Shen, On the volume of unit tangent spheres in a Finsler manifold, Results Math. 26 (1994) 1-17.
9. B. Lackey, A bochner vanishing theorem for elliptic complices, in: P.L. Antonelli, B. Lackey (Eds.), The Theory of Finslerian Laplacians with Applications, Kluwer Academic Publishers, Dordrecht, in press.
10. M. Matsumoto, Theory of curves in tangent planes of two-dimensional Finsler spaces, Tensor 37 (1982) 35-41.
11. M. Matsumoto, The main scalar of a two-dimensional Finsler space with special metric, J. Math. Kyoto Univ. 32 (4) (1992) 889-898.