23 citations · 28 across the 2 of their papers we have counts for
8 papers
Complex product structures on some simple Lie groups
Stefan Ivanov, Vasil Tsanov
We construct invariant complex product (hyperparacomplex, indefinite quaternion) structures on the manifolds underlying the real noncompact simple Lie groups $SL(2m-1,\RR)$, $SU(m,…
Para-Hermitian and Para-Quaternionic manifolds
Stefan Ivanov, Simeon Zamkovoy
A set of canonical parahermitian connections on an almost paraHermitian manifold is defined. ParaHermitian version of the Apostolov-Gauduchon generalization of the Goldberg-Sachs t…
Quaternionic Kähler and hyperKähler manifolds with torsion and twistor spaces
Stefan Ivanov, Ivan Minchev
The target space of a (4,0) supersymmetric two-dimensional sigma model with Wess-Zumino term has a connection with totally skew-symmetric torsion and holonomy contained in Sp(n)Sp(…
Connection with torsion, parallel spinors and geometry of Spin(7) manifolds
Stefan Ivanov
We show that on every Spin(7) manifold there always exists a unique linear connection with totally skew-symmetric torsion preserving a nontrivial spinor and the Spin(7) structure.…
Almost contact manifolds, connections with torsion and parallel spinors
Thomas Friedrich, Stefan Ivanov
We classify locally homogeneous quasi-Sasakian manifolds in dimension five that admit a parallel spinor of algebraic type with respect to the unique connection $…
Weyl structures with positive Ricci tensor
Bogdan Alexandrov, Stefan Ivanov
We prove the vanishing of the first Betti number on compact manifolds admitting a Weyl structure whose Ricci tensor satisfies certain positivity conditions, thus obtaining a Bochne…