双向量束上类Weil函子的双线性半基本切值形式的完全提升

IF 0.6 4区数学 Q3 MATHEMATICS

Revista De La Union Matematica Argentina Pub Date : 2021-10-01 DOI:10.33044/revuma.1619

W. Mikulski

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引用次数: 2

摘要

设F是双向量丛上的保乘积规范丛函子。我们介绍了完整的提升F→ ∧ 双线性半基本切值p-形式的pT*FM⊗TFK→ ∧ pT*M⊗TK在基为M的双向量丛K上。我们证明了这种完全提升保留了Frolicher–Nijenhuis支架。我们将所得结果应用于双线性连接。

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Complete lifting of double-linear semi-basic tangent valued forms to Weil like functors on double vector bundles

. Let F be a product preserving gauge bundle functor on double vector bundles. We introduce the complete lifting F ϕ : FK → ∧ p T ∗ FM ⊗ TFK of a double-linear semi-basic tangent valued p -form ϕ : K → ∧ p T ∗ M ⊗ TK on a double vector bundle K with base M . We prove that this com- plete lifting preserves the Frolicher–Nijenhuis bracket. We apply the results obtained to double-linear connections.

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来源期刊

Revista De La Union Matematica Argentina MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Revista de la Unión Matemática Argentina is an open access journal, free of charge for both authors and readers. We publish original research articles in all areas of pure and applied mathematics.