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Decompositions of recurrent conformal and Weyl's projective curvature tensors

Shri Krishna Deo Dubey — 1977

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

In analogia con quanto già effettuato da Takano [4], Sinha e Singh [3] Singh [2], qui si ottengono varie decomposizioni dei tensori ricorrenti di curvature R j k l i , C j k l i e W j k l i in uno spazio speciale di Kawaguchi.

Induced and intrinsic derivatives on the subspace of special Kawaguchi space

Udai Pratap SinghShri Krishna Deo Dubey — 1973

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Nella teoria degli spazi speciali di Kawaguchi esistono due tipi di connessione (indotta e intrinseca) su una varietà immersa (come nella geometria di Finsler). La loro differenza è stata determinata da Yoshida [2]. In questa Nota si definiscono e studiano due tipi di vettori normali di curvatura. Si discutono inoltre i due tipi di parallelismo di un campo vettoriale.

Union curves and union curvature of a curve in special Kawaguchi spaces of order two

Udai Pratap SinghShri Krishna Deo Dubey — 1973

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Diversi Autori hanno già studiato le union curves (curve assiali) e la relativa curvatura sugli spazi di Finsler. In questo lavoro tale teoria viene estesa ad uno speciale spazio di Kawaguchi di dimensione pari. È anche ottenuta l'espressione della curvatura geodetica delle "union curves".

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