Minimal page-genus of Milnor open books on links of rational surface singularities



Minimal Page-Genus of Milnor Open Books on Links of Rational Surface Singularities
Altmok, Selma; Bhupal, Mohan Lal (2008-01-26)
Minimal extension of Einstein's theory: The quartic gravity
Karasu, Atalay; Tekin, Bayram (2016-04-20)
We study structure of solutions of the recently constructed minimal extensions of Einstein's gravity in four dimensions at the quartic curvature level. The extended higher derivative theory, just like Einstein's gravity, has only a massless spin-two graviton about its unique maximally symmetric vacuum. The extended theory does not admit the Schwarzschild or Kerr metrics as exact solutions, hence there is no issue of Schwarzschild type singularity but, approximately, outside a source, spherically symmetric m...
Minimal number of singular fibers in a Lefschetz fibration
Korkmaz, Mustafa (American Mathematical Society (AMS), 2001-01-01)
There exists a (relatively minimal) genus g Lefschetz fibration with only one singular fiber over a closed (Riemann) surface of genus h iff g greater than or equal to 3 and h greater than or equal to 2. The singular fiber can be chosen to be reducible or irreducible. Other results are that every Dehn twist on a closed surface of genus at least three is a product of two commutators and no Dehn twist on any closed surface is equal to a single commutator.
Minimal truncation error constants for Runge-Kutta method for stochastic optimal control problems
Bakan, Hacer Oz; Yilmaz, Fikriye; Weber, Gerhard Wilhelm (2018-03-15)
In this work, we obtain strong order-1 conditions with minimal truncation error constants of Runge–Kutta method for the optimal control of stochastic differential equations (SDEs). We match Stratonovich–Taylor expansion of the exact solution with Stratonovich–Taylor expansion of our approximation method that is defined by the Runge–Kutta scheme, term by term, in order to get the strong order-1 conditions. By a conclusion and an outlook to future research, the paper ends.
Minimal siply connected symplectic 4-manifolds with a canonical class represented by disjoint unions of symplectic surfaces.
Özer, Arda Buğra; Önder, Turgut; Department of Mathematics (2002)
Citation Formats
M. L. Bhupal, “Minimal page-genus of Milnor open books on links of rational surface singularities,” Contemporary Mathematics, pp. 1–10, 2008, Accessed: 00, 2021. [Online]. Available: