Results 41 to 50 of about 169,778 (281)
Tableaux over Lie algebras, integrable systems, and classical surface theory [PDF]
, 2006 Starting from suitable tableaux over finite dimensional Lie algebras, we provide a scheme for producing involutive linear Pfaffian systems related to various classes of submanifolds in homogeneous spaces which constitute integrable systems. These include
Musso, Emilio, Nicolodi, Lorenzo
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General-affine invariants of plane curves and space curves [PDF]
, 2019 We present a fundamental theory of curves in the affine plane and the affine space, equipped with the general-affine groups ${\rm GA}(2)={\rm GL}(2,{\bf R})\ltimes {\bf R}^2$ and ${\rm GA}(3)={\rm GL}(3,{\bf R})\ltimes {\bf R}^3$, respectively. We define
Kobayashi, Shimpei, Sasaki, Takeshi
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Harmonic maps in unfashionable geometries
, 2001 We describe some general constructions on a real smooth projective 4-quadric which provide analogues of the Willmore functional and conformal Gauss map in both Lie sphere and projective differential geometry.
Burstall, F. E., Hertrich-Jeromin, U.
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Multiview Differential Geometry of Curves
, 2016 The field of multiple view geometry has seen tremendous progress in reconstruction and calibration due to methods for extracting reliable point features and key developments in projective geometry.
Fabbri, Ricardo, Kimia, Benjamin
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Differential Geometry of Submanifolds of Projective Space [PDF]
, 2008 These are lecture notes on the rigidity of submanifolds of projective space "resembling" compact Hermitian symmetric spaces in their homogeneous embeddings. Recent results are surveyed, along with their classical predecessors. The notes include an introduction to moving frames in projective geometry, an exposition of the Hwang-Yamaguchi ridgidity ...
openaire +3 more sources
Exploring lipid diversity and minimalism to define membrane requirements for synthetic cells
FEBS Letters, EarlyView.Designing the lipid membrane of synthetic cells is a complex task, in which its various roles (among them solute transport, membrane protein support, and self‐replication) should all be integrated. In this review, we report the latest top‐down and bottom‐up advances and discuss compatibility and complexity issues of current engineering approaches ...
Sergiy Gan +2 more
wiley +1 more source
Projective differential geometry of higher reductions of the two-dimensional Dirac equation [PDF]
, 2002 L. V. Bogdanov, E. V. Ferapontov
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Molecular Oncology, EarlyView.This study used longitudinal transcriptomics and gene‐pattern classification to uncover patient‐specific mechanisms of chemotherapy resistance in breast cancer. Findings reveal preexisting drug‐tolerant states in primary tumors and diverse gene rewiring patterns across patients, converging on a few dysregulated functional modules. Despite receiving the
Maya Dadiani +14 more
wiley +1 more source
TRPM8 levels determine tumor vulnerability to channel agonists
Molecular Oncology, EarlyView.TRPM8 is a Ca2+ permissive channel. Regardless of the amount of its transcript, high levels of TRPM8 protein mark different tumors, including prostate, breast, colorectal, and lung carcinomas. Targeting TRPM8 with channel agonists stimulates inward calcium currents followed by emptying of cytosolic Ca2+ stores in cancer cells.
Alessandro Alaimo +18 more
wiley +1 more source
Special Kähler geometry and holomorphic Lagrangian fibrations
Comptes Rendus. MathématiqueGiven 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 ...
Li, Yang, Tosatti, Valentino
doaj +1 more source