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19 papers · 1 filter
A detailed description of the generalized Calabi type Kahler surfaces
Ewelina Mulawa
In this paper we study QCH Kähler surfaces, i.e. 4-dimensional Riemannian manifolds (of signature (++++)) admitting a Kähler complex structure with quasi-constant holomorphic secti…
Inverting covariant exterior derivative
Radosław Antoni Kycia, Josef Šilhan
The algorithm for inverting covariant exterior derivative is provided. It works for a sufficiently small star-shaped region of a fibered set - a local subset of a vector bundle and…
Generalized orthotoric Kahler surfaces
Włodzimierz Jelonek
In this paper we describe QCH Kähler surfaces of generalized orthotoric type. We introduce a distinguished orthonormal frame on and give the structure equations f…
The Poincare lemma for codifferential, anticoexact forms, and applications to physics
Radosław Antoni Kycia
The linear homotopy theory for codifferential operator on Riemannian manifolds is developed in analogy to a similar idea for exterior derivative. The main object is the cohomotopy…
The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator
Radosław Antoni Kycia
The paper focuses on various properties and applications of the homotopy operator, which occurs in the Poincaré lemma. In the first part, an abstract operator calculus is construct…
Generalized Calabi type Kahler surfaces
Włodzimierz Jelonek, Ewelina Mulawa
In this paper we give classification of Kähler surfaces of generalized Calabi type.