Volume 57, Issue 2
On Smooth Families of Diffeomorphic Manifolds and Their Distribution Function

Simone Calamai

J. Math. Study, 57 (2024), pp. 230-242.

Published online: 2024-06

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  • Abstract

We present a formula for the third derivative of the distribution function of a regular function on a domain of $\mathbb{R}^{n+1},$ and a further discussion of the extra assumption that the function is harmonic. The present work builds on [3, 5].

  • AMS Subject Headings

53-XX

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@Article{JMS-57-230, author = {Calamai , Simone}, title = {On Smooth Families of Diffeomorphic Manifolds and Their Distribution Function}, journal = {Journal of Mathematical Study}, year = {2024}, volume = {57}, number = {2}, pages = {230--242}, abstract = {

We present a formula for the third derivative of the distribution function of a regular function on a domain of $\mathbb{R}^{n+1},$ and a further discussion of the extra assumption that the function is harmonic. The present work builds on [3, 5].

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v57n2.24.07}, url = {http://global-sci.org/intro/article_detail/jms/23171.html} }
TY - JOUR T1 - On Smooth Families of Diffeomorphic Manifolds and Their Distribution Function AU - Calamai , Simone JO - Journal of Mathematical Study VL - 2 SP - 230 EP - 242 PY - 2024 DA - 2024/06 SN - 57 DO - http://doi.org/10.4208/jms.v57n2.24.07 UR - https://global-sci.org/intro/article_detail/jms/23171.html KW - Level set, third variation. AB -

We present a formula for the third derivative of the distribution function of a regular function on a domain of $\mathbb{R}^{n+1},$ and a further discussion of the extra assumption that the function is harmonic. The present work builds on [3, 5].

Calamai , Simone. (2024). On Smooth Families of Diffeomorphic Manifolds and Their Distribution Function. Journal of Mathematical Study. 57 (2). 230-242. doi:10.4208/jms.v57n2.24.07
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