arXiv math.DG Differential Geometry
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arXiv math.DG Differential Geometry
@mathDGb
Unofficial bot by @vela with github.com/so-okada/twXiv. @mathACb @mathAGb @mathAPb @mathATb @mathCAbot @mathCObot @mathCTbot @mathCVb @mathDSb @mathFAbot ...
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    arXiv math.DG Differential Geometry
    @mathDGb
    Aug 29, 2019
    Misha Gromov : Four Lectures on Scalar Curvature arxiv.org/abs/1908.10612 arxiv.org/pdf/1908.10612
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    Four Lectures on Scalar Curvature
    We overview main topics and ideas in spaces with their scalar curvatures bounded from below, and present a more detailed exposition of several known and some new geometric constraints on...
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    arXiv math.DG Differential Geometry
    @mathDGb
    Oct 31, 2016
    Michael Atiyah : The Non-Existent Complex 6-Sphere arxiv.org/abs/1610.09366
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    arXiv math.DG Differential Geometry
    @mathDGb
    Apr 18, 2025
    Hikozo Kobayashi, Takayuki Okuda: On Invariant Conjugate Symmetric Statistical Structures on the Space of Zero-Mean Multivariate Normal Distributions arxiv.org/abs/2504.12640 arxiv.org/pdf/2504.12640 arxiv.org/html/2504.12640
    1.9K
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    arXiv math.DG Differential Geometry
    @mathDGb
    Feb 13, 2024
    Shuho Kanda: The hard Lefschetz duality for locally conformally almost K\"{a}hler manifolds arxiv.org/abs/2402.06893 arxiv.org/pdf/2402.06893
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    The hard Lefschetz duality for locally conformally almost Kähler manifolds
    We prove the hard Lefschetz duality for locally conformally almost Kähler manifolds. This is a generalization of that for almost Kähler manifolds studied by Cirici and Wilson. We...
    49K
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    arXiv math.DG Differential Geometry
    @mathDGb
    Apr 17, 2025
    a Gomes, et al.: The Riemannian geometry of the probability space of the unit c... arxiv.org/abs/2504.11559 arxiv.org/pdf/2504.11559 arxiv.org/html/2504.11559
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    The Riemannian geometry of the probability space of the unit circle
    This paper explores the Riemannian geometry of the Wasserstein space of the circle, namely $P(S^{1})$, the set of probability measures on the unit circle endowed with the 2-Wasserstein metric....
    1.5K
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    arXiv math.DG Differential Geometry
    @mathDGb
    May 6, 2025
    Itsuki Tazoe: On asymptotic behavior of the second Chern forms on degenerati... arxiv.org/abs/2505.01773 arxiv.org/pdf/2505.01773 arxiv.org/html/2505.01773
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    On asymptotic behavior of the second Chern forms on degenerating...
    We study an asymptotic behavior of the second Chern forms of canonical metrics on a degenerating family of Kähler surfaces with the central fibre having ADE-singularities. We investigate a...
    12K
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    arXiv math.DG Differential Geometry
    @mathDGb
    Feb 26, 2024
    Yoshiaki Suzuki: The Folland-Stein spectrum of some Heisenberg Bieberbach manifold arxiv.org/abs/2402.15093 arxiv.org/pdf/2402.15093
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    The Folland-Stein spectrum of some Heisenberg Bieberbach manifolds
    We study the eigenvalues and eigenfunctions of the Folland-Stein operator $\mathscr{L}_α$ on some examples of 3-dimensional Heisenberg Bieberbach manifolds, that is, compact quotients...
    74K
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    arXiv math.DG Differential Geometry
    @mathDGb
    Feb 19, 2025
    Shuho Kanda: A characterization of Oeljeklaus-Toma manifolds in locally con... arxiv.org/abs/2502.12500 arxiv.org/pdf/2502.12500 arxiv.org/html/2502.12500
    26K
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    arXiv math.DG Differential Geometry
    @mathDGb
    Oct 7, 2019
    Hidenori Fukaya, Mikio Furuta, Shinichiroh Matsuo, Tetsuya Onogi, Satoshi Yamaguchi, Mayuko Yamashita : The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators arxiv.org/abs/1910.01987 arxiv.org/pdf/1910.01987
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    The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators
    We introduce a mathematician-friendly formulation of the physicist-friendly derivation of the Atiyah-Patodi-Singer index of our previous paper. Our viewpoint sheds some new light on the interplay...
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    arXiv math.DG Differential Geometry
    @mathDGb
    Jun 24, 2025
    Shuho Kanda: Several complex structures on the Oeljeklaus-Toma manifolds arxiv.org/abs/2506.17727 arxiv.org/pdf/2506.17727 arxiv.org/html/2506.17727
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    Several complex structures on the Oeljeklaus-Toma manifolds
    We investigate complex structures on the Oeljeklaus-Toma manifolds. The Oeljeklaus-Toma manifolds are defined using complex embeddings of number fields. By replacing these embeddings with their...
    14K
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    arXiv math.DG Differential Geometry
    @mathDGb
    Mar 19, 2025
    Mazurowski, Wang, Yao: On the topology of manifolds with positive intermediate curvature arxiv.org/abs/2503.13815 arxiv.org/pdf/2503.13815 arxiv.org/html/2503.13815
    771
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    arXiv math.DG Differential Geometry
    @mathDGb
    Jul 14, 2020
    Mayuko Yamashita : A lattice version of the Atiyah-Singer index theorem arxiv.org/abs/2007.06239 arxiv.org/pdf/2007.06239
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    A lattice version of the Atiyah-Singer index theorem
    We formulate and prove a lattice version of the Atiyah-Singer index theorem. The main theorem gives a $K$-theoretic formula for an index-type invariant of operators on lattice approximations of...
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    arXiv math.DG Differential Geometry
    @mathDGb
    May 30, 2025
    Moudrik Chamoux: Extensions of homogeneous distributions on deformations to the... arxiv.org/abs/2505.22885 arxiv.org/pdf/2505.22885 arxiv.org/html/2505.22885
    857
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    arXiv math.DG Differential Geometry
    @mathDGb
    May 8, 2025
    : Toward Riemannian diffeology arxiv.org/abs/2505.04170 arxiv.org/pdf/2505.04170 arxiv.org/html/2505.04170
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    Towards Riemannian diffeology
    We introduce a framework for Riemannian diffeology. To this end, we use the tangent functor in the sense of Blohmann and one of the options of a metric on a diffeological space in the sense of...
    1.8K

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