Some formulas of Gauss-Bonnet-Chern type in Riemann-Finsler geometry.
Zhongmin Shen (1996)
Journal für die reine und angewandte Mathematik
Christopher B. Croke (1980)
Annales scientifiques de l'École Normale Supérieure
James J. Hebda (1981/1982)
Inventiones mathematicae
M. Cantor (1979)
Compositio Mathematica
Ferrara, M. (2003)
APPS. Applied Sciences
Adem Kiliçman, Wedad Saleh (2015)
Open Mathematics
In this study, we introduce a new class of function called geodesic semi E-b-vex functions and generalized geodesic semi E-b-vex functions and discuss some of their properties.
Grigorios Tsagas (1971)
Mathematische Zeitschrift
Patrick Eberlein (1973)
Inventiones mathematicae
Kinetsu Abe (1980)
Mathematische Annalen
Elisa Gage Casini (2000)
Rendiconti del Seminario Matematico della Università di Padova
Jarolím Bureš (1975)
Czechoslovak Mathematical Journal
B.H. Bowditch (1994)
Commentarii mathematici Helvetici
W. Roter (1974)
Colloquium Mathematicae
Colding, Tobias H. (1998)
Documenta Mathematica
I. Chavel, E.A. Feldman (1981)
Commentarii mathematici Helvetici
Manlio Bordoni (1994)
Mathematische Annalen
Carolyn S. Gordon, Dorothee Schueth, Craig J. Sutton (2010)
Annales de l’institut Fourier
We show that a bi-invariant metric on a compact connected Lie group is spectrally isolated within the class of left-invariant metrics. In fact, we prove that given a bi-invariant metric on there is a positive integer such that, within a neighborhood of in the class of left-invariant metrics of at most the same volume, is uniquely determined by the first distinct non-zero eigenvalues of its Laplacian (ignoring multiplicities). In the case where is simple, can be chosen to be two....
Constantin Vernicos (2000/2001)
Séminaire de théorie spectrale et géométrie
Jacques Chazarain (1974/1975)
Séminaire Bourbaki
Marc Burger (1988)
Commentarii mathematici Helvetici