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On differential geometry of tangent and cotangent bundles of Riemannian manifold
Published 1999-12-01Get full text
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Differential geometry of nonholonomic complexes NGr(1, n, 2n − 4) in n-dimensional affine space
Published 2023-09-01“… In this article the differential geometry of the nonholonomic complex NGr(1, n, 2n − 4) in the n-dimensional affine space is studied. …”
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Irreducible representation of surface distributions and Piola transformation of external loads sustainable by third gradient continua
Published 2023-04-01Subjects: Get full text
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A direct relation between bending energy and contact angles for capillary bridges
Published 2023-09-01Subjects: “…Fenchel’s theorem in differential geometry…”
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Osculating paraboloid
Published 2023-09-01“… Osculating paraboloid of second order have been studied in classical differential geometry. In this article we generalize this concept to osculating paraboloids of higher order. …”
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Special Kähler geometry and holomorphic Lagrangian fibrations
Published 2024-06-01“…Given a holomorphic Lagrangian fibration of a compact hyperkähler manifold, we use the differential geometry of the special Kähler metric that exists on the base away from the discriminant locus, and show that the pullback of the tangent bundle of the base to the total space of a family of minimal rational curves admits a parallel splitting. …”
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Evolution of CFD numerical methods and physical models towards a full discrete approach
Published 2022-10-01“…In recent decades, the emergence of methodologies based on differential geometry or exterior calculus has changed the point of view by starting with the creation of entangled polygonal and polyhedral structures where the variables are located. …”
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