Hodge star operator
linear map from p-forms on an n-dimensional manifold to (n−p)-forms
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Hodge star operator
Summary
Hodge star operator is a mathematical concept[1]. It draws 196 Wikipedia views per month (mathematical_concept category, ranking #101 of 1,007).[2]
Key Facts
- Hodge star operator's instance of is recorded as mathematical concept[3].
- W. V. D. Hodge is named after Hodge star operator[4].
- Hodge star operator's subclass of is recorded as linear map[5].
- Hodge star operator's Freebase ID is recorded as /m/01t5dq[6].
- Hodge star operator's defining formula is recorded as (\star\alpha){i{p+1}\dotso i_n} = \frac1{p!}\sqrt{|\det g|}\epsilon_{i_1\dotso i_n} g^{i_1j_1} \dotsm g^{i_pj_p}\alpha_{j_1\dotso j_p}[7].
- Hodge star operator's studied by is recorded as differential geometry[8].
- Hodge star operator's MathWorld ID is recorded as HodgeStar[9].
- Hodge star operator's nLab ID is recorded as Hodge star operator[10].
- Hodge star operator's maintained by WikiProject is recorded as WikiProject Mathematics[11].
- Hodge star operator's Microsoft Academic ID is recorded as 114417882[12].
- Hodge star operator's PlanetMath ID is recorded as HodgeStarOperator[13].
- Hodge star operator's OpenAlex ID is recorded as C114417882[14].
- Hodge star operator's ScienceDirect topic ID is recorded as mathematics/hodge-star-operator[15].
Why It Matters
Hodge star operator draws 196 Wikipedia views per month (mathematical_concept category, ranking #101 of 1,007).[2] It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[16] It is known by 34 alternative names across languages and contexts.[17]