We study properties of pseudo-Riemannian metrics corresponding to Monge-Ampère structures on four dimensional $T^*M$. describe a family Ricci flat solutions, which are parametrized by six coefficients satisfying the Plücker embedding equation. also focus pullbacks pseudo-metrics two $M$, and Hessian structures.

The complexification of the compact group G is the group G whose Lie algebra is the complexification of the Lie algebra g of G and which satisfies π1(G ) = π1(G). The complexification G/K of G/K can be then identified (G-equivariantly) with the tangent bundle of G/K. We also remark that the Kähler form obtained in the Theorem is exact. This result has been proved in [9] for symmetric spaces of ...

Recently, many authors have focused on the question of symmetric positive solutions for ordinary differential equation boundary value problems, for example, see (Avery & Henderson, 2000; Çetin & Topal, 2012; Graef & Kong, 2008; Hamal & Yoruk, 2010; Jiang, Liu & Wu, 2013; Luo & Luo, 2010; Luo & Luo, 2012; Lin & Zhao, 2013; Tersenov, 2014) and the references therein. In (Avery & Henderson, 2003),...

A Hermitian and an anti-Hermitian first-order intertwining operators are introduced and a class of η-weak-pseudo-Hermitian positiondependent mass (PDM) Hamiltonians are constructed. A corresponding reference-target η-weak-pseudo-Hermitian PDM – Hamiltonians’ map is suggested. Some η-weak-pseudo-Hermitian PT -symmetric Scarf II and periodic-type models are used as illustrative examples. Energy-l...

In this paper, we consider $\left(LCS\right)_{n}$ manifold admitting almost $\eta-$Ricci solitons by means of curvature tensors. Ricci pseudosymmetry concepts soliton have introduced according to the choice some special tensors such as pseudo-projective, $W_{1}$, $W_{1}^{\ast}$ and $W_{2}.$ Then, again tensor, necessary conditions are searched for be semisymmetric. Then characterizations obtain...

A new family of five dimensional, R=0 braneworlds with asymmetric warp factors is proposed. Beginning with the invariance of the Ricci scalar for the general class of asymmetrically warped spacetimes we, subsequently specialise to the R = 0 case. Solutions are obtained by choosing a particular relation (involving a parameter ν) between the warp factors. Symmetric warping arises as a special cas...