scholarly journals Some integral formulae on weighted manifolds

2021 ◽  
Vol 112 (2) ◽  
Author(s):  
Mohammed Abdelmalek ◽  
Mohammed Benalili
Keyword(s):  
Weighted Manifolds ◽  
Integral Formulae

scholarly journals Generalized Hsiung–Minkowski formulae on manifolds with density

2021 ◽  
Author(s):  
Mohammed Abdelmalek
Keyword(s):  
Symmetric Functions ◽  
Newton Transformations ◽  
Weighted Manifolds ◽  
Integral Formulae

AbstractIn this work, using the weighted symmetric functions $$\sigma _{k}^{\infty }$$ σ k ∞ and the weighted Newton transformations $$T_{k}^{\infty }$$ T k ∞ introduced by Case (Alias et al. Proc Edinb Math Soc 46(02):465–488, 2003), we derive some generalized integral formulae for close hypersurfaces in weighted manifolds. We also give some examples and applications of these formulae.

scholarly journals Integral Formulae of Bernoulli Polynomials

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Dae San Kim ◽  
Dmitry V. Dolgy ◽  
Hyun-Mee Kim ◽  
Sang-Hun Lee ◽  
Taekyun Kim
Keyword(s):  
Bernoulli Polynomials ◽  
Integral Formulae

Recently, some interesting and new identities are introduced in (Hwang et al., Communicated). From these identities, we derive some new and interesting integral formulae for the Bernoulli polynomials.

scholarly journals Integral formulae for codimension-one foliated Randers spaces

2017 ◽  
Vol 91 (1-2) ◽  
pp. 95-110
Author(s):  
Vladimir Rovenski ◽  
Pawel Walczak
Keyword(s):  
Codimension One ◽  
Integral Formulae
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