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Peacock geodesics in Wasserstein space

期刊: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2021; 77 ()

Martingale optimal transport has attracted much attention due to its application in pricing and hedging in mathematical finance. The essential notion ......

S-curvature and E-curvature of invariant (alpha, beta)-metric on homogeneous space

期刊: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2021; 76 ()

Let F = alpha phi(s), s = beta/alpha, be an invariant (alpha, beta)-metric on a reductive homogeneous manifold G/H of dimension n >= 3 such that ph......

Vanishing theorems for p-harmonic l-forms on Riemannian manifolds with a weighted Poincare inequality

期刊: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2021; 76 ()

In this paper, we investigate p-harmonic l-forms on Riemannian manifolds with a weighted Poincare inequality, and we get a vanishing type theorem, whi......

Orlicz log-Minkowski inequality

期刊: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2021; 74 ()

In this paper, the well-known log-Minkowski inequality is extended to the Orlicz space. We first propose and establish an Orlicz logarithmic Minkowski......

Eigenvalue estimates of the p-Laplacian on finite graphs

期刊: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2021; 74 ()

In this paper, we study the eigenvalue of p-Laplacian on finite graphs. Under generalized curvature dimensional condition, we obtain a lower bound of ......

Surfaces of revolution associated with the kink-type solutions of the SIdV equation

期刊: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2021; 74 ()

In this paper, we study the evolution scenarios of surfaces of revolution associated with the kink-type solutions of an integrable equation, which is ......

The navigation problems on aclass of conic Finsler manifolds

期刊: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2021; 74 ()

Based on our deep understanding on the essential relationships between the Zermelo navigation problems and the geometries of indicatrix on Finsler man......

Comparison theorems on Riemannian-Finsler manifolds with curvature quartic decay and their applications

期刊: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2021; 77 ()

We establish some comparison theorems on Finsler manifolds with curvature quartic decay. As their applications, we obtain some optimal compact theorem......

Hamilton inequality for unbounded Laplacians on graphs

期刊: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2021; 76 ()

In this paper, we study Hamilton inequality for unbounded Laplacians on weighted graphs satisfying CDE'(-K, infinity) for some K >= 0. This is a ge......

Classification of Calabi hypersurfaces with parallel Fubini-Pick form

期刊: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2021; 74 ()

In this paper, we present the classification of 2 and 3-dimensional Calabi hypersurfaces with parallel Fubini-Pick form with respect to the Levi-Civit......

Lower bound of the scalar curvature for quasi-Einstein metrics

期刊: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2021; 75 ()

Let (M, g) be an n-dimensional Riemannian manifold with a quasi-Einstein metric g, i.e., g satisfies the following equation Ric + Hess f - 1/tau df ci......

On the nonexistence and rigidity for hypersurfaces of the homogeneous nearly Kahler S-3 x S-3

期刊: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2021; 75 ()

In this paper, we study hypersurfaces of the homogeneous NK (nearly Kahler) manifold S-3 x S-3. As the main results, we first show that the homogeneou......

Noncollapsing estimate for the Ricci-Bourguignon flow

期刊: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2020; 69 ()

The Ricci-Bourguignon flow (R-B flow) is a general geometric evolving equation, which includes or relates to some famous geometric flows, for example ......

On symmetric Willmore surfaces in spheres II: The orientation reversing case

期刊: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2020; 69 ()

In this paper we provide a systematic treatment of Willmore surfaces with orientation reversing symmetries and illustrate the theory by (old and new) ......

The generalized unicorn problem in the almost regular Douglas (alpha, beta)-spaces

期刊: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2020; 69 ()

In this paper, we focus on almost regular Douglas (alpha, beta)-spaces. We find that any almost regular Douglas (alpha, beta)-metrics on a manifold Mo......

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