Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Meera Mainkar"'
Autor:
Jonas Deré, Meera Mainkar
Publikováno v:
Mathematische Nachrichten. 296:610-629
We obtain sharp ranges of $L^p$-boundedness for domains in a wide class of Reinhardt domains representable as sub-level sets of monomials, by expressing them as quotients of simpler domains. We prove a general transformation law relating $L^p$-bounde
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d1506575f978c2c561f7d93862703cc
http://arxiv.org/abs/2004.02598
http://arxiv.org/abs/2004.02598
Publikováno v:
Advances in Geometry. 18:265-284
Dani and Mainkar introduced a method for constructing a 2-step nilpotent Lie algebra 𝔫 G from a simple directed graph G in 2005. There is a natural inner product on 𝔫 G arising from the construction. We study geometric properties of the associa
We study the Bergman kernel of certain domains in $\mathbb{C}^n$, called elementary Reinhardt domains, generalizing the classical Hartogs triangle. For some elementary Reinhardt domains, we explicitly compute the kernel, which is a rational function
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b12152a0157831079a3f5870c977cd04
http://arxiv.org/abs/1909.03164
http://arxiv.org/abs/1909.03164
We consider a family of 2-step nilpotent Lie algebras associated to uniform complete graphs on odd number of vertices. We prove that the symmetry group of such a graph is the holomorph of the additive cyclic group $\Z_n$. Moreover, we prove that the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd191e6bde602a61968b3119d8f1518d
http://arxiv.org/abs/1812.09439
http://arxiv.org/abs/1812.09439
Autor:
Benjamin Schmidt, Meera Mainkar
A smooth foliation of a Riemannian manifold is metric when its leaves are locally equidistant and is homogenous when its leaves are locally orbits of a Lie group acting by isometries. Homogenous foliations are metric foliations, but metric foliations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::deff5c57fc608da439be3ed11dc7be2e
Autor:
Meera Mainkar
Publikováno v:
Groups, Geometry, and Dynamics. 9:55-65
Publikováno v:
Linear Algebra and its Applications. 457:293-302
A magic square is an n × n array of numbers whose rows, columns, and the two diagonals sum to μ. A regular magic square satisfies the condition that the entries symmetrically placed with respect to the center sum to 2 μ n . Using circulant matrice
Autor:
Meera Mainkar
Publikováno v:
Monatshefte für Mathematik. 165:79-90
We study nilmanifolds admitting Anosov automorphisms by applying elementary properties of algebraic units in number fields to the associated Anosov Lie algebras. We identify obstructions to the existence of Anosov Lie algebras. The case of 13-dimensi
Autor:
Cynthia E. Will, Meera Mainkar
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 18:39-52
We construct new families of examples of (real) Anosov Lie algebras, starting with algebraic units. We also give examples of indecomposable Anosov Lie algebras (not a direct sum of proper Lie ideals) of dimension $13$ and $16$, and we conclude that f