Now showing items 1-10 of 15
Generalized (κ,μ)-space forms [Article]
Generalized (κ, µ)-space forms are introduced and studied. We examine in depth the contact metric case and present examples for all possible dimensions. We also analyse the trans-Sasakian case.
Irreducible triangulations of the once-punctured torus [Article]
(Sobolev Institute of Mathematics, 2018)
A triangulation of a surface with fixed topological type is called irreducible if no edge can be contracted to a vertex while remaining in the category of simplicial complexes and preserving the topology of the surface. A ...
Invariant complex structures on 6-nilmanifolds classification, Frölicher spectral sequence and special Hermitian metrics [Article]
We classify invariant complex structures on 6-dimensional nilmanifolds up to equivalence. As an application, the behaviour of the associated Frölicher sequence is studied as well as its relation to the existence of ...
Graph operations and Lie algebras [Article]
(Taylor & Francis, 2013)
This paper deals with several operations on graphs and combinatorial structures linking them with their associated Lie algebras. More concretely, our main goal is to obtain some criteria to determine when there exists a ...
Relations between combinatorial structures and Lie algebras: centers and derived Lie algebras [Article]
In this paper, we study how two important ideals of a given Lie algebra g (namely, the center Z(g) and the derived Lie algebra D(g)) can be translated into the language of Graph Theory. In this way, we obtain some criteria ...
Irreducible triangulations of the Möbius band [Article]
(Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova, 2014)
A complete list of irreducible triangulations is identified on the Möbius band.
Pyramidal values [Article]
We propose and analyze a new type of values for cooperative TU-games, which we call pyramidal values. Assuming that the grand coalition is sequentially formed, and all orderings are equally likely, we define a pyramidal ...
Generating families of surface triangulations. The case of punctured surfaces with inner degree at least 4 [Article]
We present two versions of a method for generating all triangulations of any punctured surface in each of these two families: (1) triangulations with inner vertices of degree ≥ 4 and boundary vertices of degree ≥ 3 and (2) ...
On manifolds with nonhomogeneous factors [Article]
We present simple examples of finite-dimensional connected homogeneous spaces (they are actually topological manifolds) with nonhomogeneous and nonrigid factors. In particular, we give an elementary solution of an old ...
The Freudenthal compactification of tree-like generalized continua [Article]
(Auburn University, 2013)
Tree-likeness of generalized continua is defined by means of inverse limits of locally finite trees with proper bonding maps. The main theorem of this paper shows that the Freudenthal compactification preserves and reflects ...