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**1 - 3**of**3**### Twistors and Bi-Hermitian Surfaces of Non-Kähler Type?

"... Abstract. The aim of this work is to give a twistor presentation of recent results about bi-Hermitian metrics on compact complex surfaces with odd first Betti number. Key words: non-Kähler surfaces; bi-Hermitian metrics; twistor space 2010 Mathematics Subject Classification: 53C15; 53C28 1 ..."

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Abstract. The aim of this work is to give a twistor presentation of recent results about bi-Hermitian metrics on compact complex surfaces with odd first Betti number. Key words: non-Kähler surfaces; bi-Hermitian metrics; twistor space 2010 Mathematics Subject Classification: 53C15; 53C28 1

### ON THE REAL DIFFERENTIAL OF A SLICE REGULAR FUNCTION

"... Abstract. In this paper we show that the real differential of any injective slice regular function is invertible everywhere. To obtain the goal we introduce a new tool: slice differential forms. For the set of slice differential forms we prove some foundational theorems and we show an example of app ..."

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Abstract. In this paper we show that the real differential of any injective slice regular function is invertible everywhere. To obtain the goal we introduce a new tool: slice differential forms. For the set of slice differential forms we prove some foundational theorems and we show an example of application. Other instruments regarding the coefficients of the spherical expansion and the slice derivative of a slice regular function will be described. 1.