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The Tanno-Theorem for Kählerian metrics with arbitrary signature
Tanno-Theorem Kä hlerian metrics arbitrary signature
2011/1/18
Considering a non-constant smooth solution f of the Tanno equation on a closed,connected K¨ahler manifold (M, g, J) with positively definite metric g, Tanno showed that the manifold can be finitely co...
A Strong Abhyankar-Moh Theorem and Criterion of Embedded Line
Abhyankar-Moh Theorem plane polynomial curve embedded line
2011/1/21
The condition of plane polynomial curve to be a line in well-known Abhyankar-Moh Theorem is replaced by weaker ones. A criterion of embedded line is obtained from this strong theorem.
Generalized Fibonacci Numbers and Blackwell's Renewal Theorem
generalized Fibonacci numbers renewal theory
2011/2/25
We investigate a connection between generalized Fibonacci numbers and renewal theory for stochastic processes. Using Blackwell’s renewal theorem we find an approximation to the generalized Fibonacci n...