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A note on proper affine vector fields in Bianchi type IV space-times
Affine vector fields holonomy and decomposability
2010/9/21
Affine vector fields of Bianchi type IV space-times are investigated using holonomy and decomposability, the rank of the 6× 6 Riemann matrix and direct integration technique. From the above study it f...
A note on proper affine symmetry in Bianchi types VI_0 and VII_0 space-times
Affine vector fields holonomy and decomposability
2010/9/27
A study proper affine symmetry in the most general form of the Bianchi types 0 VI and 0 VII space-times is given by using holonomy and decomposability, the rank of the 6× 6 Riemann matrix and direct i...
Holomorphic families of non-equivalent embeddings and of holomorphic group actions on affine space
Holomorphic families of non-equivalent embeddings holomorphic group affine space
2010/11/19
We construct holomorphic families of proper holomorphic embeddings of $\C^k$ into $\C^n$ ($0any two different parameters in the family no holomorphic automorphism of $\C^n$ can ...
The growth rate of symplectic homology and affine varieties
The growth rate symplectic homology affine varieties
2010/11/18
We will show that the cotangent bundle of an integrally hyperbolic manifold is not symplectomorphic to any smooth affine variety. We will also show that the unit cotangent bundle of such a manifold is...
An affine embedding of the gamma manifold
gamma manifold statistical manifold affine immersion
2009/1/12
For the space of gamma distributions with Fisher metric and exponential connec-
tions, natural coordinate systems, potential functions and an affine immersion
in R3 are provided.
Cohomologies of Affine Jacobi Varieties and Integrable Systems
Affine Jacobi Varieties Integrable Systems
2010/11/1
We study the affine ring of the affine Jacobi variety of a hyper-elliptic curve. The matrix construction of the affine hyper-elliptic Jacobi varieties due to Mumford is used to calculate the characte...