The strong rigidity of locally symmetric complex manifolds of rank one and finite volume

1986 ◽  
Vol 275 (2) ◽  
pp. 291-304 ◽  
Author(s):  
J. Jost ◽  
S. -T. Yau
Keyword(s):  
Finite Volume ◽  
Complex Manifolds ◽  
Strong Rigidity ◽  
Rank One ◽  
Symmetric Complex

scholarly journals Theta Functions and Abelian Varieties over Valuation Fields of Rank one I

1962 ◽  
Vol 20 ◽  
pp. 1-27 ◽  
Author(s):  
Hisasi Morikawa
Keyword(s):  
Imaginary Part ◽  
Classical Theory ◽  
Theta Function ◽  
Abelian Varieties ◽  
Theta Functions ◽  
Positive Definite ◽  
Complex Matrix ◽  
Rank One ◽  
Symmetric Complex

We shall denote by the Z-module of integral vectors of dimension r, by T a symmetric complex matrix with positive definite imaginary part and by g the variable vector. If we put and the fundamental theta function is expressed in the form: as a series in q and u. Other theta functions in the classical theory are derived from the fundamental theta function by translating the origin and making sums and products, so these theta functions are also expressed in the form: as series of q and u. Moreover the coefficients in the relations of theta functions are also expressed in the form: as series in q.

Finite volume and spectral methods applied to Pb-30%TI alloy solidification

2001 ◽  
Vol 11 (PR6) ◽  
pp. Pr6-151-Pr6-159 ◽  
Author(s):  
R. Guérin ◽  
M. El Ganaoui ◽  
P. Haldenwang ◽  
P. Bontoux
Keyword(s):  
Finite Volume ◽  
Spectral Methods ◽  
Ti Alloy ◽  
Alloy Solidification

MODELING OF A TURBULENT ETHYLENE/AIR JET FLAME USING HYBRID FINITE VOLUME/MONTE CARLO METHODS

2009 ◽  
Vol 1 (1) ◽  
pp. 37-53 ◽  
Author(s):  
Ranjan S. Mehta ◽  
Anquan Wang ◽  
Michael F. Modest ◽  
Daniel C. Haworth
Keyword(s):  
Monte Carlo ◽  
Finite Volume ◽  
Monte Carlo Methods ◽  
Jet Flame ◽  
Air Jet
Sign in / Sign up

Export Citation Format

Share Document