Integral Formulas for Almost Product Manifolds and Foliations
نویسندگان
چکیده
Integral formulas are powerful tools used to obtain global results in geometry and analysis. The integral for almost multi-product manifolds, foliations multiply twisted products of Riemannian, metric-affine sub-Riemannian which this review paper is devoted, useful studying such problems as (i) the existence characterization with a given geometric property, being totally geodesic, minimal or umbilical; (ii) prescribing generalized mean curvatures leaves foliation; (iii) minimizing volume-like functionals defined tensors on foliated manifolds. We start from series codimension one Riemannian then we consider regular singular arbitrary codimension. In second part article, represent mixed scalar curvature an structure give applications hypersurfaces space forms k=2,3 distinct principal constant multiplicities discuss distributions
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ژورنال
عنوان ژورنال: Mathematics
سال: 2022
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math10193645