Results 71 to 80 of about 5,858,860 (191)
Deformations of Cayley submanifolds [PDF]
, 2016 Cayley submanifolds of R^8 were introduced by Harvey and Lawson as an instance of calibrated submanifolds, extending the volume-minimising properties of complex submanifolds in Kähler manifolds.
Ohst, Matthias
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A trace–path integral formula over function fields
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
wiley +1 more source
Mizohata–Takeuchi inequalities for orthonormal systems
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We establish some weighted L2$L^2$ inequalities for Fourier extension operators in the setting of orthonormal systems. In the process, we develop a direct approach to such inequalities based on generalized Wigner distributions, complementing the Schatten space approach that is prevalent in the wider context of estimates for such orthonormal ...
Jonathan Bennett +4 more
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Formal Manifolds: Local Structure of Morphisms, and Formal Submanifolds
Acta Mathematica Sinica, English SeriesThis is a paper in a series that studies smooth relative Lie algebra homologies and cohomologies based on the theory of formal manifolds and formal Lie groups. In three previous papers, we introduce the notion of formal manifolds and study their basic theory, focusing on function spaces and Poincare's lemma.
Chen, Fulin, Sun, Binyong, Wang, Chuyun
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Locally symmetric submanifolds lift to spectral manifolds
, 2012 In this work we prove that every locally symmetric smooth submanifold gives rise to a naturally defined smooth submanifold of the space of symmetric matrices, called spectral manifold, consisting of all matrices whose ordered vector of eigenvalues belongs to the locally symmetric manifold.
Daniilidis, Aris +2 more
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THE RIGIDITY OF MINIMAL SUBMANIFOLDS IN A LOCALLY SYMMETRIC SPACE [PDF]
Bulletin of the Korean Mathematical Society, 2013 Abstract. In the present paper, we discuss the rigidity phenomenon ofclosed minimal submanifolds in a locally symmetric Riemannian manifoldwith pinched sectional curvature. We show that if the sectional curvatureof the submanifold is no less than an explicitly given constant, then eitherthe submanifold is totally geodesic, or the ambient space is a ...
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A General Type of Almost Contact Manifolds [PDF]
Among almost contact manifolds Sasakian manifolds, Kenmotsu manifolds (called also “a certain class of almost contact manifolds”) and cosymplectic manifolds have been studied by many authors.
Catalin Angelo Ioan
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Local and global conformal invariants of submanifolds
44 ...
Case, Jeffrey S. +4 more
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Kähler submanifolds with parallel pluri-mean curvature [PDF]
, 2004 We investigate the local geometry of a class of Kähler submanifolds M⊂Rn which generalize surfaces of constant mean curvature. The role of the mean curvature vector is played by the (1,1)-part (i.e., the dzidz̄j-components) of the second fundamental form
Burstall, F.E. +7 more
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Frobenius manifolds: natural submanifolds and induced bi-Hamiltonian structures [PDF]
, 2004 Submanifolds of Frobenius manifolds are studied. In particular, so-called natural submanifolds are defined and, for semi-simple Frobenius manifolds, classified. These carry the structure of a Frobenius algebra on each tangent space, but will, in general,
I.A.B. Strachan, Strachan, I.A.B.
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