Integral formulae for a Riemannian manifold with two orthogonal distributions

DOI10.2478/s11533-011-0026-yzbMath1238.53015OpenAlexW2031269508WikidataQ115227867 ScholiaQ115227867MaRDI QIDQ657291

Vladimir Yu. Rovenskij

Publication date: 16 January 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0026-y

zbMATH Keywords

Riemannian metricdistributionfoliationdivergenceintegral formulaNewton transformationsco-nullity tensormean curvatures

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30) Connections (general theory) (53C05)

Related Items (5)

Deforming metrics of foliations ⋮ Frame bundle approach to generalized minimal submanifolds ⋮ Problems of extrinsic geometry of foliations ⋮ Integral formulas for a foliated sub-Riemannian manifold ⋮ Integral formulas for a Riemannian manifold with orthogonal distributions

Cites Work

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• Integral formulae on foliated symmetric spaces
• The Newton transformation and new integral formulae for foliated manifolds
• Holomorphicity and the Walczak formula on Sasakian manifolds
• Extrinsic curvatures of distributions of arbitrary codimension
• Structural equations and an integral formula for foliated manifolds
• Intégrales de courbure sur des variétés feuilletees
• Total extrinsic curvature of certain distributions on closed spaces of constant curvature
• Integral formulae for codimension-one foliated Finsler manifolds
• Average Gaussian curvature of leaves of foliations
• A Panoramic View of Riemannian Geometry
• An integral formula for a Riemannian manifold with two orthogonal complementary distributions
• HOLOMORPHIC FOLIATIONS, HARMONIC MORPHISMS AND THE WALCZAK FORMULA

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