Isotropic maps and moment map flow [PDF]
arXivWe consider the moduli space of isotropic maps from a closed surface $\Sigma$ to a symplectic affine space and construct a K\"ahler moment map geometry, on a space of differential forms on $\Sigma$, such that the isotropic maps correspond to certain zeroes of the moment map.
arxiv
Dynamics of certain smooth one-dimensional mappings II: geometrically finite one-dimensional mappings [PDF]
arXiv, 1991 We study geometrically finite one-dimensional mappings. These are a subspace of $C^{1+\alpha}$ one-dimensional mappings with finitely many, critically finite critical points. We study some geometric properties of a mapping in this subspace. We prove that this subspace is closed under quasisymmetrical conjugacy.
arxiv
Method of Asymptotics beyond All Orders and Restriction on Maps [PDF]
arXiv, 2006 The method of asymptotics beyond all orders (ABAO) is known to be a useful tool to investigate separatrix splitting of several maps. For a class of simplectic maps, the form of maps is shown to be restricted by the conditions for the ABAO method to work well.
arxiv
A completely positive map associated with a positive map [PDF]
arXiv, 2010 We show that each positive map from B(K) to B(H) with K and H finite dimensional Hilbert spaces is a scalar multiple of a map of the form $Tr - \psi$ with $\psi$ completely positive. This is used to give necessary and sufficient conditions for maps to be C-positive for a large class of mapping cones; in particular we apply the results to k-positive ...
arxiv
On a relation between potentials for pluriharmonic maps and para-pluriharmonic maps [PDF]
arXiv, 2010 In this paper, we show that one can interrelate pluriharmonic maps with para-pluriharmonic maps by means of the loop group method. As an appendix, we give examples for the interrelation between pluriharmonic maps and para-pluriharmonic maps. Moreover, we investigate the relation among CMC-surfaces by use of such maps.
arxiv
A predictive model for the ichnological suitability of the Jezero crater, Mars: searching for fossilized traces of life-substrate interactions in the 2020 Rover Mission Landing Site. [PDF]
PeerJ, 2021 Baucon A +4 more
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Fixed point theorem for generalized Chatterjea type mappings [PDF]
arXivWe introduce a new type of mappings in metric space which are three-point analogue of the well-known Chatterjea type mappings, and call them generalized Chatterjea type mappings. It is shown that such mappings can be discontinuous as is the case of Chatterjea type mappings and this new class includes the class of Chatterjea type mappings.
arxiv
Rotations and convolutions of harmonic convex mappings [PDF]
arXiv, 2019 In this paper, we consider the convolutions of slanted half-plane mappings and strip mappings and generalize related results in general settings. We also consider a class of harmonic mappings containing slanted half-plane mappings and strip mappings and, as a consequence, we prove that the convex combination of such mappings is convex.
arxiv
Impact Melt Facies in the Moon's Crisium Basin: Identifying, Characterizing, and Future Radiogenic Dating. [PDF]
J Geophys Res Planets, 2020 Runyon KD +9 more
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Geology of the InSight landing site on Mars. [PDF]
Nat Commun, 2020 Golombek M +46 more
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